02314_02341_02431_03214_03241_03421_04231_04321_30214_30241_30421<br /><br />

Counting sequence:<br />
1, 1, 2, 6, 24, 109, 522, 2552, 12560, 61862, 304179, 1491827, 7296264, 35588841, 173160915, 840654638, 4073118527, 19700705886, 95142852662, 458875117551, 2210606162379, 10638791875366, 51155780454037, 245792560910464, 1180206862509716, 5663710846486779, 27166318626607992, 130249551417281234, 624255830258736811, 2990968363616255736, 14326593042217299950, 68607638569873082495, 328484454996192827026, 1572470218137684052206, 7526378871078744794342, 36019285560916930024031, 172360419378217788184750, 824708314021206134972685, 3945750094481553812945865, 18876883746239468460343369, 90303996637793674082253710, 431979737260251864891557138, 2066344627707399199380431122, 9883889383791784078390680273, 47276040368356290172375684943, 226122830533489124941477566625, 1081532386318170608609282028904, 5172826083528264057128941446725, 24740625111715819562096735893193, 118328380600492137114473972579878, 565931004752243065512805329102498, 2706668579201696011160229755757811, 12945066803480654009911410253600690, 61911542379479292775320918944709514, 296099361372143084068252599218053123, 1416126896814507413100870053303667478, 6772764881723212085297700180854370742, 32391359480248873527715186099062002306, 154914432714464864639936484148370867539, 740890895881805413508041428730394581313, 3543369328814036015457337318402941615188, 16946439328341353183446411882789006967073, 81047653607886512868202112589118891771540, 387616655639995017336025698465375019070185, 1853806722264908438088883333857499847279562, 8865975824329394002571621351696358120751400, 42402232264085536496228617745629307183537406, 202792084635988481168398919599959981083209798, 969869691340753668282359435262465595985957587, 4638482138188812679899708475414977595330053467, 22183930836014582639155251644303813228148917036, 106096541637030346081448509028870971244954437271, 507415886480658629991262185098578962544553518748, 2426760934571410242082027538248319580286259346374, 11606199370251394393579880360434358433101094270045, 55507689224691579961617567025365272986077818084549, 265470552187963080163670865915035192343008515964325, 1269637189665783821218957782605752515514483344328383, 6072156934363387988262241501082690268903994897939825, 29040654736236377997119831706770319871639699513148044, 138889648118592385613617415881618439470254620663817199, 664252815476300939629405499051699492999252981237777328, 3176851957015908242025907329519337224520036930836204976, 15193596616041486659925321846822011045025881507030995660, 72664827027003954714505761656782121385843247262184450598, 347526502292525982710635955541946529676692859909298237904, 1662078929795027613021777416509004141239025947199054101924, 7949052849039649891031831910100364089904065785458184084815, 38017114211071030545729870972713644903192360258253434175909, 181820534682251795591808043803953420297004823529043339320136, 869574370494416309164402562125367903005099804031037046221144, 4158824049170696020145432569631464623755913790692537678429894, 19889981334512178672010536282447286887874489503026591738876419, 95125776721565595492482198731305536874727256928974949204052862, 454948320525629575146761871239057077907761636272794685760702200, 2175834832137554159953898970926082991790053386051674439224081612, 10406143035077960193564315651971573767434602399833721465161497867, 49768398244876348469841119204242910669933611244660314194665016032, 238022241893716186547788354040355749775163232510294636160444629795, 1138364710047264146038114666069077153744052775231686137551875508503, 5444340892158584894036192752603856928766365970607305901207188613701<br /><br />


















  Specification 1<br />
  Strategy pack name: point_and_row_and_col_placements_req_corrob<br />
  Tree: http://permpal.com/tree/25376/<br />
  System of equations in Maple syntax:<br />
  
    F[0,x] = F[1,x]+F[2,x]<br />
  
    F[1,x] = 1<br />
  
    F[2,x] = F[3,x]<br />
  
    F[3,x] = F[21,x]*F[4,x]<br />
  
    F[4,x] = F[0,x]+F[5,x]<br />
  
    F[5,x] = F[6,x]<br />
  
    F[6,x] = F[21,x]*F[7,x]<br />
  
    F[7,x] = F[4,x]+F[467,x]+F[8,x]<br />
  
    F[8,x] = F[21,x]*F[9,x]<br />
  
    F[9,x] = 1/F[21,x]*F[10,x]<br />
  
    F[10,x] = F[11,x]<br />
  
    F[11,x] = F[12,x]+F[5,x]<br />
  
    F[12,x] = F[13,x]<br />
  
    F[13,x] = F[14,x]*F[21,x]<br />
  
    F[14,x] = F[15,x]+F[488,x]<br />
  
    F[15,x] = F[16,x]<br />
  
    F[16,x] = F[17,x]*F[21,x]<br />
  
    F[17,x] = F[18,x]+F[26,x]<br />
  
    F[18,x] = F[19,x]*F[9,x]<br />
  
    F[19,x] = F[1,x]+F[20,x]<br />
  
    F[20,x] = F[21,x]*F[22,x]<br />
  
    F[21,x] = x<br />
  
    F[22,x] = F[1,x]+F[23,x]+F[25,x]<br />
  
    F[23,x] = F[24,x]<br />
  
    F[24,x] = F[19,x]*F[21,x]*F[22,x]<br />
  
    F[25,x] = F[21,x]*F[22,x]<br />
  
    F[26,x] = -F[487,x]+F[27,x]<br />
  
    F[27,x] = 1/F[21,x]*F[28,x]<br />
  
    F[28,x] = F[29,x]<br />
  
    F[29,x] = -F[32,x]-F[482,x]+F[30,x]<br />
  
    F[30,x] = 1/F[21,x]*F[31,x]<br />
  
    F[31,x] = -F[33,x]-F[467,x]+F[32,x]<br />
  
    F[32,x] = F[280,x]+F[33,x]+F[34,x]<br />
  
    F[33,x] = 0<br />
  
    F[34,x] = F[21,x]*F[35,x]<br />
  
    F[35,x] = F[36,x]<br />
  
    F[36,x] = F[21,x]*F[37,x]<br />
  
    F[37,x] = F[278,x]+F[38,x]<br />
  
    F[38,x] = F[276,x]+F[39,x]<br />
  
    F[39,x] = F[40,x]*F[81,x]<br />
  
    F[40,x] = F[275,x]+F[41,x]<br />
  
    F[41,x] = F[42,x]+F[44,x]<br />
  
    F[42,x] = 1/F[21,x]*F[43,x]<br />
  
    F[43,x] = F[5,x]<br />
  
    F[44,x] = F[45,x]<br />
  
    F[45,x] = F[21,x]*F[46,x]<br />
  
    F[46,x] = F[47,x]+F[60,x]<br />
  
    F[47,x] = F[42,x]*F[48,x]<br />
  
    F[48,x] = F[22,x]+F[49,x]<br />
  
    F[49,x] = F[50,x]+F[55,x]<br />
  
    F[50,x] = F[21,x]+F[51,x]<br />
  
    F[51,x] = F[33,x]+F[52,x]+F[53,x]<br />
  
    F[52,x] = F[21,x]*F[49,x]<br />
  
    F[53,x] = F[21,x]*F[54,x]<br />
  
    F[54,x] = F[20,x]<br />
  
    F[55,x] = F[56,x]<br />
  
    F[56,x] = F[21,x]*F[57,x]<br />
  
    F[57,x] = F[58,x]+F[59,x]<br />
  
    F[58,x] = F[22,x]*F[50,x]<br />
  
    F[59,x] = F[19,x]*F[49,x]<br />
  
    F[60,x] = F[61,x]<br />
  
    F[61,x] = F[49,x]*F[62,x]<br />
  
    F[62,x] = 1/F[21,x]*F[63,x]<br />
  
    F[63,x] = F[64,x]<br />
  
    F[64,x] = F[65,x]+F[66,x]<br />
  
    F[65,x] = (x^2+4*x-1)*F[65,x]^2+(4*x^2-5*x+2)*F[65,x]+4*x^2-x<br />
  
    F[66,x] = F[67,x]<br />
  
    F[67,x] = F[21,x]*F[68,x]<br />
  
    F[68,x] = F[69,x]+F[73,x]<br />
  
    F[69,x] = F[65,x]*F[70,x]<br />
  
    F[70,x] = F[0,x]+F[71,x]<br />
  
    F[71,x] = F[72,x]<br />
  
    F[72,x] = F[21,x]*F[42,x]<br />
  
    F[73,x] = F[0,x]*F[74,x]<br />
  
    F[74,x] = F[65,x]+F[75,x]<br />
  
    F[75,x] = F[21,x]*F[76,x]<br />
  
    F[76,x] = F[77,x]+F[94,x]<br />
  
    F[77,x] = -F[92,x]+F[78,x]<br />
  
    F[78,x] = F[74,x]+F[79,x]+F[86,x]<br />
  
    F[79,x] = F[80,x]<br />
  
    F[80,x] = F[19,x]*F[21,x]*F[65,x]*F[81,x]<br />
  
    F[81,x] = F[1,x]+F[82,x]+F[84,x]<br />
  
    F[82,x] = F[83,x]<br />
  
    F[83,x] = F[19,x]*F[21,x]*F[81,x]<br />
  
    F[84,x] = F[85,x]<br />
  
    F[85,x] = F[19,x]*F[21,x]*F[81,x]<br />
  
    F[86,x] = F[87,x]<br />
  
    F[87,x] = F[21,x]*F[88,x]<br />
  
    F[88,x] = F[89,x]+F[90,x]<br />
  
    F[89,x] = F[19,x]*F[78,x]<br />
  
    F[90,x] = F[91,x]<br />
  
    F[91,x] = F[19,x]*F[50,x]*F[74,x]<br />
  
    F[92,x] = F[65,x]*F[93,x]<br />
  
    F[93,x] = -F[19,x]+F[81,x]<br />
  
    F[94,x] = F[267,x]+F[74,x]+F[95,x]<br />
  
    F[95,x] = F[96,x]<br />
  
    F[96,x] = F[21,x]*F[97,x]<br />
  
    F[97,x] = F[114,x]+F[98,x]<br />
  
    F[98,x] = F[93,x]*F[99,x]<br />
  
    F[99,x] = F[100,x]+F[19,x]<br />
  
    F[100,x] = F[101,x]<br />
  
    F[101,x] = F[102,x]*F[21,x]<br />
  
    F[102,x] = F[103,x]+F[110,x]<br />
  
    F[103,x] = F[104,x]*F[107,x]<br />
  
    F[104,x] = F[105,x]+F[19,x]<br />
  
    F[105,x] = F[106,x]<br />
  
    F[106,x] = F[102,x]*F[21,x]<br />
  
    F[107,x] = F[1,x]+F[108,x]<br />
  
    F[108,x] = F[109,x]<br />
  
    F[109,x] = F[107,x]*F[21,x]<br />
  
    F[110,x] = F[111,x]<br />
  
    F[111,x] = F[104,x]*F[112,x]*F[21,x]*F[22,x]<br />
  
    F[112,x] = F[113,x]+F[93,x]<br />
  
    F[113,x] = F[107,x]*F[19,x]<br />
  
    F[114,x] = -F[266,x]+F[115,x]<br />
  
    F[115,x] = F[116,x]+F[117,x]<br />
  
    F[116,x] = F[100,x]+F[92,x]<br />
  
    F[117,x] = -F[233,x]+F[118,x]<br />
  
    F[118,x] = F[119,x]+F[186,x]+F[202,x]+F[231,x]<br />
  
    F[119,x] = F[120,x]+F[182,x]<br />
  
    F[120,x] = F[1,x]+F[121,x]+F[178,x]+F[180,x]<br />
  
    F[121,x] = F[122,x]*F[21,x]<br />
  
    F[122,x] = 1/F[21,x]*F[123,x]<br />
  
    F[123,x] = F[124,x]<br />
  
    F[124,x] = F[125,x]+F[134,x]<br />
  
    F[125,x] = F[126,x]+F[50,x]<br />
  
    F[126,x] = F[127,x]+F[129,x]+F[33,x]<br />
  
    F[127,x] = F[128,x]<br />
  
    F[128,x] = F[125,x]*F[19,x]*F[21,x]<br />
  
    F[129,x] = F[130,x]<br />
  
    F[130,x] = F[131,x]*F[21,x]<br />
  
    F[131,x] = F[132,x]+F[133,x]<br />
  
    F[132,x] = F[50,x]*F[93,x]<br />
  
    F[133,x] = F[126,x]*F[19,x]<br />
  
    F[134,x] = F[135,x]<br />
  
    F[135,x] = F[136,x]*F[21,x]<br />
  
    F[136,x] = 1/F[21,x]*F[137,x]<br />
  
    F[137,x] = F[138,x]<br />
  
    F[138,x] = -F[125,x]-F[169,x]+F[139,x]<br />
  
    F[139,x] = F[140,x]<br />
  
    F[140,x] = F[141,x]*F[21,x]<br />
  
    F[141,x] = 1/F[21,x]*F[142,x]<br />
  
    F[142,x] = F[143,x]<br />
  
    F[143,x] = 1/F[21,x]*F[144,x]<br />
  
    F[144,x] = F[145,x]<br />
  
    F[145,x] = F[146,x]*F[21,x]<br />
  
    F[146,x] = F[147,x]+F[160,x]+F[167,x]+F[33,x]<br />
  
    F[147,x] = F[148,x]*F[21,x]<br />
  
    F[148,x] = F[146,x]+F[149,x]<br />
  
    F[149,x] = F[150,x]<br />
  
    F[150,x] = F[151,x]*F[21,x]<br />
  
    F[151,x] = F[152,x]+F[158,x]<br />
  
    F[152,x] = F[153,x]+F[157,x]<br />
  
    F[153,x] = F[154,x]<br />
  
    F[154,x] = F[155,x]*F[19,x]*F[50,x]<br />
  
    F[155,x] = 1/F[21,x]*F[156,x]<br />
  
    F[156,x] = F[100,x]<br />
  
    F[157,x] = F[148,x]*F[19,x]<br />
  
    F[158,x] = F[159,x]<br />
  
    F[159,x] = F[146,x]*F[19,x]*F[50,x]<br />
  
    F[160,x] = F[161,x]<br />
  
    F[161,x] = F[162,x]*F[21,x]<br />
  
    F[162,x] = F[146,x]+F[163,x]<br />
  
    F[163,x] = F[164,x]<br />
  
    F[164,x] = F[165,x]*F[19,x]*F[65,x]<br />
  
    F[165,x] = 1/F[19,x]/F[21,x]*F[166,x]<br />
  
    F[166,x] = F[126,x]<br />
  
    F[167,x] = F[168,x]<br />
  
    F[168,x] = F[155,x]*F[21,x]<br />
  
    F[169,x] = F[170,x]<br />
  
    F[170,x] = -F[171,x]+F[139,x]<br />
  
    F[171,x] = F[172,x]+F[173,x]<br />
  
    F[172,x] = F[104,x]*F[21,x]<br />
  
    F[173,x] = F[174,x]<br />
  
    F[174,x] = F[104,x]*F[175,x]*F[21,x]<br />
  
    F[175,x] = F[176,x]+F[177,x]<br />
  
    F[176,x] = F[50,x]*F[81,x]<br />
  
    F[177,x] = F[125,x]*F[19,x]<br />
  
    F[178,x] = F[179,x]<br />
  
    F[179,x] = F[21,x]*F[81,x]*F[99,x]<br />
  
    F[180,x] = F[181,x]<br />
  
    F[181,x] = F[120,x]*F[19,x]*F[21,x]<br />
  
    F[182,x] = F[183,x]<br />
  
    F[183,x] = F[184,x]*F[21,x]*F[81,x]<br />
  
    F[184,x] = F[116,x]+F[185,x]<br />
  
    F[185,x] = F[19,x]*F[99,x]<br />
  
    F[186,x] = F[187,x]*F[21,x]<br />
  
    F[187,x] = 1/F[21,x]*F[188,x]<br />
  
    F[188,x] = F[189,x]<br />
  
    F[189,x] = F[190,x]+F[192,x]<br />
  
    F[190,x] = F[191,x]<br />
  
    F[191,x] = F[122,x]*F[21,x]<br />
  
    F[192,x] = F[193,x]<br />
  
    F[193,x] = F[19,x]*F[194,x]*F[65,x]<br />
  
    F[194,x] = F[195,x]+F[200,x]+F[21,x]<br />
  
    F[195,x] = F[196,x]<br />
  
    F[196,x] = F[197,x]*F[21,x]<br />
  
    F[197,x] = F[198,x]+F[199,x]<br />
  
    F[198,x] = F[19,x]*F[194,x]<br />
  
    F[199,x] = F[50,x]*F[81,x]<br />
  
    F[200,x] = F[201,x]<br />
  
    F[201,x] = F[19,x]*F[194,x]*F[21,x]<br />
  
    F[202,x] = F[203,x]<br />
  
    F[203,x] = F[204,x]*F[21,x]*F[81,x]<br />
  
    F[204,x] = 1/F[21,x]*F[205,x]<br />
  
    F[205,x] = F[206,x]<br />
  
    F[206,x] = -F[227,x]+F[207,x]<br />
  
    F[207,x] = F[19,x]+F[208,x]+F[213,x]<br />
  
    F[208,x] = F[209,x]<br />
  
    F[209,x] = F[21,x]*F[210,x]<br />
  
    F[210,x] = F[102,x]+F[211,x]<br />
  
    F[211,x] = F[212,x]<br />
  
    F[212,x] = F[102,x]*F[19,x]*F[21,x]<br />
  
    F[213,x] = F[214,x]<br />
  
    F[214,x] = F[19,x]*F[21,x]*F[215,x]<br />
  
    F[215,x] = F[216,x]+F[218,x]<br />
  
    F[216,x] = F[217,x]<br />
  
    F[217,x] = F[19,x]^2<br />
  
    F[218,x] = F[219,x]<br />
  
    F[219,x] = F[220,x]+F[221,x]<br />
  
    F[220,x] = F[106,x]<br />
  
    F[221,x] = F[222,x]<br />
  
    F[222,x] = F[21,x]*F[223,x]<br />
  
    F[223,x] = F[224,x]+F[226,x]<br />
  
    F[224,x] = F[225,x]<br />
  
    F[225,x] = F[104,x]*F[19,x]*F[50,x]<br />
  
    F[226,x] = F[19,x]*F[219,x]<br />
  
    F[227,x] = F[1,x]+F[228,x]+F[230,x]<br />
  
    F[228,x] = F[21,x]*F[229,x]<br />
  
    F[229,x] = F[104,x]+F[220,x]<br />
  
    F[230,x] = F[21,x]*F[215,x]<br />
  
    F[231,x] = F[232,x]<br />
  
    F[232,x] = F[118,x]*F[19,x]*F[21,x]<br />
  
    F[233,x] = -F[234,x]+F[118,x]<br />
  
    F[234,x] = F[235,x]<br />
  
    F[235,x] = F[21,x]*F[236,x]<br />
  
    F[236,x] = 1/F[21,x]*F[237,x]<br />
  
    F[237,x] = F[238,x]<br />
  
    F[238,x] = -F[204,x]-F[264,x]+F[239,x]<br />
  
    F[239,x] = F[240,x]<br />
  
    F[240,x] = -F[261,x]+F[241,x]<br />
  
    F[241,x] = 1/F[21,x]*F[242,x]<br />
  
    F[242,x] = F[243,x]<br />
  
    F[243,x] = F[21,x]*F[244,x]<br />
  
    F[244,x] = F[245,x]+F[246,x]<br />
  
    F[245,x] = F[118,x]<br />
  
    F[246,x] = F[247,x]<br />
  
    F[247,x] = 1/F[21,x]*F[248,x]<br />
  
    F[248,x] = F[249,x]<br />
  
    F[249,x] = -F[250,x]+F[189,x]<br />
  
    F[250,x] = F[251,x]+F[259,x]<br />
  
    F[251,x] = F[252,x]+F[50,x]<br />
  
    F[252,x] = F[253,x]<br />
  
    F[253,x] = F[21,x]*F[254,x]<br />
  
    F[254,x] = -F[210,x]+F[255,x]<br />
  
    F[255,x] = 1/F[21,x]*F[256,x]<br />
  
    F[256,x] = F[257,x]<br />
  
    F[257,x] = -F[258,x]+F[229,x]<br />
  
    F[258,x] = F[19,x]+F[50,x]<br />
  
    F[259,x] = F[260,x]<br />
  
    F[260,x] = F[19,x]*F[50,x]*F[65,x]<br />
  
    F[261,x] = F[262,x]<br />
  
    F[262,x] = 1/F[21,x]*F[263,x]<br />
  
    F[263,x] = F[249,x]<br />
  
    F[264,x] = F[265,x]<br />
  
    F[265,x] = F[19,x]*F[21,x]*F[239,x]<br />
  
    F[266,x] = F[207,x]*F[93,x]<br />
  
    F[267,x] = F[268,x]<br />
  
    F[268,x] = F[21,x]*F[269,x]<br />
  
    F[269,x] = F[163,x]+F[270,x]<br />
  
    F[270,x] = 1/F[21,x]*F[271,x]<br />
  
    F[271,x] = F[272,x]<br />
  
    F[272,x] = F[273,x]<br />
  
    F[273,x] = -F[274,x]-F[33,x]+F[74,x]<br />
  
    F[274,x] = F[120,x]*F[21,x]<br />
  
    F[275,x] = F[0,x]*F[100,x]<br />
  
    F[276,x] = F[277,x]<br />
  
    F[277,x] = F[19,x]*F[194,x]*F[62,x]<br />
  
    F[278,x] = F[279,x]<br />
  
    F[279,x] = F[19,x]*F[194,x]*F[42,x]<br />
  
    F[280,x] = F[281,x]<br />
  
    F[281,x] = F[21,x]*F[282,x]<br />
  
    F[282,x] = F[283,x]+F[465,x]<br />
  
    F[283,x] = F[284,x]+F[381,x]<br />
  
    F[284,x] = F[285,x]+F[307,x]<br />
  
    F[285,x] = F[0,x]+F[286,x]+F[305,x]<br />
  
    F[286,x] = F[287,x]<br />
  
    F[287,x] = F[21,x]*F[288,x]<br />
  
    F[288,x] = -F[302,x]+F[289,x]<br />
  
    F[289,x] = 1/F[21,x]*F[290,x]<br />
  
    F[290,x] = F[291,x]<br />
  
    F[291,x] = -F[294,x]-F[296,x]+F[292,x]<br />
  
    F[292,x] = 1/F[21,x]*F[293,x]<br />
  
    F[293,x] = F[64,x]<br />
  
    F[294,x] = F[0,x]*F[295,x]<br />
  
    F[295,x] = F[1,x]+F[21,x]<br />
  
    F[296,x] = F[297,x]<br />
  
    F[297,x] = F[21,x]*F[298,x]<br />
  
    F[298,x] = F[299,x]+F[300,x]<br />
  
    F[299,x] = F[19,x]*F[292,x]<br />
  
    F[300,x] = F[301,x]<br />
  
    F[301,x] = F[0,x]*F[50,x]*F[99,x]<br />
  
    F[302,x] = F[303,x]<br />
  
    F[303,x] = F[0,x]*F[304,x]<br />
  
    F[304,x] = F[123,x]<br />
  
    F[305,x] = F[306,x]<br />
  
    F[306,x] = F[19,x]*F[21,x]*F[285,x]<br />
  
    F[307,x] = F[308,x]<br />
  
    F[308,x] = F[21,x]*F[309,x]<br />
  
    F[309,x] = F[284,x]+F[310,x]+F[317,x]+F[379,x]<br />
  
    F[310,x] = F[21,x]*F[311,x]<br />
  
    F[311,x] = 1/F[21,x]*F[312,x]<br />
  
    F[312,x] = F[313,x]<br />
  
    F[313,x] = F[314,x]+F[315,x]<br />
  
    F[314,x] = F[0,x]*F[190,x]<br />
  
    F[315,x] = F[316,x]<br />
  
    F[316,x] = F[19,x]*F[194,x]*F[64,x]<br />
  
    F[317,x] = F[318,x]<br />
  
    F[318,x] = F[21,x]*F[319,x]*F[81,x]<br />
  
    F[319,x] = F[320,x]<br />
  
    F[320,x] = -F[355,x]+F[321,x]<br />
  
    F[321,x] = 1/F[21,x]*F[322,x]<br />
  
    F[322,x] = F[323,x]<br />
  
    F[323,x] = -F[325,x]+F[324,x]<br />
  
    F[324,x] = F[325,x]+F[326,x]<br />
  
    F[325,x] = F[0,x]+F[64,x]<br />
  
    F[326,x] = -F[351,x]+F[327,x]<br />
  
    F[327,x] = F[328,x]<br />
  
    F[328,x] = F[21,x]*F[329,x]<br />
  
    F[329,x] = F[330,x]+F[347,x]<br />
  
    F[330,x] = F[331,x]+F[335,x]<br />
  
    F[331,x] = F[295,x]*F[332,x]<br />
  
    F[332,x] = F[333,x]+F[334,x]<br />
  
    F[333,x] = F[0,x]*F[104,x]<br />
  
    F[334,x] = F[22,x]*F[64,x]<br />
  
    F[335,x] = F[336,x]<br />
  
    F[336,x] = F[0,x]*F[337,x]<br />
  
    F[337,x] = -F[346,x]+F[338,x]<br />
  
    F[338,x] = F[339,x]+F[345,x]<br />
  
    F[339,x] = F[340,x]*F[341,x]<br />
  
    F[340,x] = -2+x^2+8*x+F[340,x]^2*(x^2+4*x-1)+(2*x^2-13*x+4)*F[340,x]<br />
  
    F[341,x] = F[342,x]<br />
  
    F[342,x] = F[21,x]*F[343,x]<br />
  
    F[343,x] = 1/F[21,x]*F[344,x]<br />
  
    F[344,x] = F[74,x]<br />
  
    F[345,x] = F[49,x]*F[65,x]<br />
  
    F[346,x] = F[341,x]*F[65,x]<br />
  
    F[347,x] = F[348,x]<br />
  
    F[348,x] = F[349,x]+F[350,x]<br />
  
    F[349,x] = F[0,x]*F[220,x]<br />
  
    F[350,x] = F[49,x]*F[64,x]<br />
  
    F[351,x] = F[352,x]<br />
  
    F[352,x] = F[21,x]*F[353,x]<br />
  
    F[353,x] = F[354,x]<br />
  
    F[354,x] = F[21,x]*F[332,x]<br />
  
    F[355,x] = F[356,x]<br />
  
    F[356,x] = -F[374,x]+F[357,x]<br />
  
    F[357,x] = F[358,x]+F[364,x]<br />
  
    F[358,x] = F[359,x]+F[362,x]<br />
  
    F[359,x] = F[0,x]*F[360,x]<br />
  
    F[360,x] = F[361,x]<br />
  
    F[361,x] = F[120,x]*F[21,x]<br />
  
    F[362,x] = F[363,x]<br />
  
    F[363,x] = F[19,x]*F[50,x]*F[64,x]<br />
  
    F[364,x] = F[365,x]<br />
  
    F[365,x] = F[21,x]*F[366,x]<br />
  
    F[366,x] = F[367,x]+F[373,x]<br />
  
    F[367,x] = F[368,x]<br />
  
    F[368,x] = F[19,x]*F[369,x]*F[50,x]<br />
  
    F[369,x] = F[370,x]+F[371,x]<br />
  
    F[370,x] = F[0,x]*F[99,x]<br />
  
    F[371,x] = F[372,x]<br />
  
    F[372,x] = F[19,x]^2*F[64,x]<br />
  
    F[373,x] = F[19,x]*F[357,x]<br />
  
    F[374,x] = F[375,x]<br />
  
    F[375,x] = F[19,x]*F[376,x]*F[64,x]<br />
  
    F[376,x] = 1/F[21,x]*F[377,x]<br />
  
    F[377,x] = -F[33,x]-F[378,x]+F[51,x]<br />
  
    F[378,x] = F[21,x]*F[54,x]<br />
  
    F[379,x] = F[380,x]<br />
  
    F[380,x] = F[19,x]*F[21,x]*F[309,x]<br />
  
    F[381,x] = F[382,x]<br />
  
    F[382,x] = F[0,x]*F[383,x]<br />
  
    F[383,x] = F[384,x]<br />
  
    F[384,x] = -F[464,x]+F[385,x]<br />
  
    F[385,x] = 1/F[21,x]*F[386,x]<br />
  
    F[386,x] = F[387,x]<br />
  
    F[387,x] = F[21,x]*F[388,x]<br />
  
    F[388,x] = F[389,x]+F[463,x]<br />
  
    F[389,x] = F[390,x]+F[391,x]<br />
  
    F[390,x] = F[125,x]+F[81,x]<br />
  
    F[391,x] = F[392,x]<br />
  
    F[392,x] = F[21,x]*F[393,x]<br />
  
    F[393,x] = F[394,x]+F[461,x]<br />
  
    F[394,x] = 1/F[21,x]*F[395,x]<br />
  
    F[395,x] = F[396,x]<br />
  
    F[396,x] = -F[390,x]+F[397,x]<br />
  
    F[397,x] = F[398,x]+F[448,x]<br />
  
    F[398,x] = -F[445,x]+F[399,x]<br />
  
    F[399,x] = F[400,x]+F[401,x]<br />
  
    F[400,x] = F[194,x]+F[81,x]<br />
  
    F[401,x] = F[402,x]<br />
  
    F[402,x] = F[21,x]*F[403,x]<br />
  
    F[403,x] = F[404,x]+F[435,x]<br />
  
    F[404,x] = F[405,x]+F[433,x]<br />
  
    F[405,x] = -F[431,x]+F[406,x]<br />
  
    F[406,x] = -F[430,x]+F[407,x]<br />
  
    F[407,x] = 1/F[21,x]*F[408,x]<br />
  
    F[408,x] = F[409,x]<br />
  
    F[409,x] = -F[390,x]-F[411,x]+F[410,x]<br />
  
    F[410,x] = F[139,x]+F[343,x]<br />
  
    F[411,x] = F[412,x]<br />
  
    F[412,x] = F[21,x]*F[413,x]<br />
  
    F[413,x] = F[414,x]+F[427,x]<br />
  
    F[414,x] = F[415,x]+F[425,x]<br />
  
    F[415,x] = 1/F[21,x]*F[416,x]<br />
  
    F[416,x] = F[417,x]<br />
  
    F[417,x] = -F[424,x]+F[418,x]<br />
  
    F[418,x] = F[419,x]+F[422,x]<br />
  
    F[419,x] = 1/F[21,x]*F[420,x]<br />
  
    F[420,x] = F[421,x]<br />
  
    F[421,x] = F[272,x]+F[74,x]<br />
  
    F[422,x] = F[423,x]<br />
  
    F[423,x] = F[141,x]*F[21,x]<br />
  
    F[424,x] = F[343,x]+F[422,x]<br />
  
    F[425,x] = F[426,x]<br />
  
    F[426,x] = F[102,x]*F[21,x]*F[81,x]<br />
  
    F[427,x] = -F[425,x]+F[428,x]<br />
  
    F[428,x] = 1/F[21,x]*F[429,x]<br />
  
    F[429,x] = F[169,x]<br />
  
    F[430,x] = F[136,x]<br />
  
    F[431,x] = F[432,x]<br />
  
    F[432,x] = F[19,x]*F[21,x]*F[406,x]<br />
  
    F[433,x] = F[434,x]<br />
  
    F[434,x] = F[102,x]*F[21,x]*F[81,x]<br />
  
    F[435,x] = -F[447,x]+F[436,x]<br />
  
    F[436,x] = 1/F[21,x]*F[437,x]<br />
  
    F[437,x] = F[438,x]<br />
  
    F[438,x] = -F[400,x]-F[439,x]+F[424,x]<br />
  
    F[439,x] = F[440,x]<br />
  
    F[440,x] = F[21,x]*F[441,x]<br />
  
    F[441,x] = F[415,x]+F[442,x]<br />
  
    F[442,x] = 1/F[21,x]*F[443,x]<br />
  
    F[443,x] = F[444,x]<br />
  
    F[444,x] = -F[445,x]+F[422,x]<br />
  
    F[445,x] = F[446,x]<br />
  
    F[446,x] = F[21,x]*F[405,x]<br />
  
    F[447,x] = F[406,x]+F[433,x]<br />
  
    F[448,x] = F[172,x]+F[449,x]<br />
  
    F[449,x] = F[450,x]<br />
  
    F[450,x] = F[21,x]*F[451,x]<br />
  
    F[451,x] = F[452,x]+F[459,x]<br />
  
    F[452,x] = F[453,x]*F[50,x]<br />
  
    F[453,x] = 1/F[258,x]*F[454,x]<br />
  
    F[454,x] = -F[459,x]+F[455,x]<br />
  
    F[455,x] = 1/F[21,x]*F[456,x]<br />
  
    F[456,x] = F[457,x]<br />
  
    F[457,x] = -F[458,x]+F[397,x]<br />
  
    F[458,x] = F[104,x]*F[295,x]<br />
  
    F[459,x] = F[460,x]<br />
  
    F[460,x] = F[104,x]*F[125,x]*F[19,x]<br />
  
    F[461,x] = F[462,x]<br />
  
    F[462,x] = F[21,x]*F[258,x]*F[406,x]<br />
  
    F[463,x] = F[124,x]<br />
  
    F[464,x] = F[120,x]+F[190,x]<br />
  
    F[465,x] = F[466,x]<br />
  
    F[466,x] = F[0,x]*F[124,x]<br />
  
    F[467,x] = F[468,x]<br />
  
    F[468,x] = F[21,x]*F[469,x]<br />
  
    F[469,x] = F[470,x]+F[477,x]<br />
  
    F[470,x] = F[292,x]+F[471,x]<br />
  
    F[471,x] = F[472,x]<br />
  
    F[472,x] = F[21,x]*F[473,x]<br />
  
    F[473,x] = F[474,x]+F[475,x]<br />
  
    F[474,x] = F[19,x]*F[40,x]<br />
  
    F[475,x] = F[476,x]<br />
  
    F[476,x] = F[19,x]*F[50,x]*F[62,x]<br />
  
    F[477,x] = F[478,x]<br />
  
    F[478,x] = F[479,x]+F[480,x]<br />
  
    F[479,x] = F[0,x]*F[251,x]<br />
  
    F[480,x] = F[481,x]<br />
  
    F[481,x] = F[19,x]*F[5,x]*F[50,x]<br />
  
    F[482,x] = F[483,x]<br />
  
    F[483,x] = F[21,x]*F[484,x]<br />
  
    F[484,x] = F[303,x]+F[485,x]<br />
  
    F[485,x] = F[486,x]<br />
  
    F[486,x] = F[125,x]*F[19,x]*F[64,x]<br />
  
    F[487,x] = F[19,x]*F[30,x]<br />
  
    F[488,x] = F[489,x]+F[491,x]<br />
  
    F[489,x] = F[490,x]<br />
  
    F[490,x] = F[21,x]*F[289,x]<br />
  
    F[491,x] = F[492,x]<br />
  
    F[492,x] = F[21,x]*F[493,x]<br />
  
    F[493,x] = F[494,x]+F[496,x]+F[500,x]+F[514,x]<br />
  
    F[494,x] = F[495,x]<br />
  
    F[495,x] = F[19,x]*F[50,x]*F[99,x]<br />
  
    F[496,x] = F[497,x]<br />
  
    F[497,x] = F[19,x]*F[21,x]*F[498,x]*F[50,x]<br />
  
    F[498,x] = 1/F[21,x]*F[499,x]<br />
  
    F[499,x] = -F[280,x]-F[99,x]+F[7,x]<br />
  
    F[500,x] = F[501,x]<br />
  
    F[501,x] = F[21,x]*F[50,x]*F[502,x]<br />
  
    F[502,x] = F[503,x]+F[509,x]<br />
  
    F[503,x] = F[504,x]+F[507,x]<br />
  
    F[504,x] = F[505,x]+F[506,x]<br />
  
    F[505,x] = F[19,x]*F[284,x]<br />
  
    F[506,x] = F[285,x]*F[93,x]<br />
  
    F[507,x] = F[508,x]<br />
  
    F[508,x] = F[0,x]*F[124,x]*F[19,x]<br />
  
    F[509,x] = F[510,x]<br />
  
    F[510,x] = F[0,x]*F[511,x]<br />
  
    F[511,x] = F[512,x]+F[513,x]<br />
  
    F[512,x] = F[19,x]*F[383,x]<br />
  
    F[513,x] = F[360,x]*F[93,x]<br />
  
    F[514,x] = F[515,x]<br />
  
    F[515,x] = F[19,x]*F[21,x]*F[516,x]<br />
  
    F[516,x] = F[517,x]+F[519,x]<br />
  
    F[517,x] = F[518,x]<br />
  
    F[518,x] = F[125,x]*F[292,x]<br />
  
    F[519,x] = F[520,x]<br />
  
    F[520,x] = F[194,x]*F[292,x]<br />
  
  System of equations in latex syntax:<br />
  
    F_{0}\! \left(x \right) = F_{1}\! \left(x \right)+F_{2}\! \left(x \right)<br />
  
    F_{1}\! \left(x \right) = 1<br />
  
    F_{2}\! \left(x \right) = F_{3}\! \left(x \right)<br />
  
    F_{3}\! \left(x \right) = F_{21}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{4}\! \left(x \right) = F_{0}\! \left(x \right)+F_{5}\! \left(x \right)<br />
  
    F_{5}\! \left(x \right) = F_{6}\! \left(x \right)<br />
  
    F_{6}\! \left(x \right) = F_{21}\! \left(x \right) F_{7}\! \left(x \right)<br />
  
    F_{7}\! \left(x \right) = F_{4}\! \left(x \right)+F_{467}\! \left(x \right)+F_{8}\! \left(x \right)<br />
  
    F_{8}\! \left(x \right) = F_{21}\! \left(x \right) F_{9}\! \left(x \right)<br />
  
    F_{9}\! \left(x \right) = \frac{F_{10}\! \left(x \right)}{F_{21}\! \left(x \right)}<br />
  
    F_{10}\! \left(x \right) = F_{11}\! \left(x \right)<br />
  
    F_{11}\! \left(x \right) = F_{12}\! \left(x \right)+F_{5}\! \left(x \right)<br />
  
    F_{12}\! \left(x \right) = F_{13}\! \left(x \right)<br />
  
    F_{13}\! \left(x \right) = F_{14}\! \left(x \right) F_{21}\! \left(x \right)<br />
  
    F_{14}\! \left(x \right) = F_{15}\! \left(x \right)+F_{488}\! \left(x \right)<br />
  
    F_{15}\! \left(x \right) = F_{16}\! \left(x \right)<br />
  
    F_{16}\! \left(x \right) = F_{17}\! \left(x \right) F_{21}\! \left(x \right)<br />
  
    F_{17}\! \left(x \right) = F_{18}\! \left(x \right)+F_{26}\! \left(x \right)<br />
  
    F_{18}\! \left(x \right) = F_{19}\! \left(x \right) F_{9}\! \left(x \right)<br />
  
    F_{19}\! \left(x \right) = F_{1}\! \left(x \right)+F_{20}\! \left(x \right)<br />
  
    F_{20}\! \left(x \right) = F_{21}\! \left(x \right) F_{22}\! \left(x \right)<br />
  
    F_{21}\! \left(x \right) = x<br />
  
    F_{22}\! \left(x \right) = F_{1}\! \left(x \right)+F_{23}\! \left(x \right)+F_{25}\! \left(x \right)<br />
  
    F_{23}\! \left(x \right) = F_{24}\! \left(x \right)<br />
  
    F_{24}\! \left(x \right) = F_{19}\! \left(x \right) F_{21}\! \left(x \right) F_{22}\! \left(x \right)<br />
  
    F_{25}\! \left(x \right) = F_{21}\! \left(x \right) F_{22}\! \left(x \right)<br />
  
    F_{26}\! \left(x \right) = -F_{487}\! \left(x \right)+F_{27}\! \left(x \right)<br />
  
    F_{27}\! \left(x \right) = \frac{F_{28}\! \left(x \right)}{F_{21}\! \left(x \right)}<br />
  
    F_{28}\! \left(x \right) = F_{29}\! \left(x \right)<br />
  
    F_{29}\! \left(x \right) = -F_{32}\! \left(x \right)-F_{482}\! \left(x \right)+F_{30}\! \left(x \right)<br />
  
    F_{30}\! \left(x \right) = \frac{F_{31}\! \left(x \right)}{F_{21}\! \left(x \right)}<br />
  
    F_{31}\! \left(x \right) = -F_{33}\! \left(x \right)-F_{467}\! \left(x \right)+F_{32}\! \left(x \right)<br />
  
    F_{32}\! \left(x \right) = F_{280}\! \left(x \right)+F_{33}\! \left(x \right)+F_{34}\! \left(x \right)<br />
  
    F_{33}\! \left(x \right) = 0<br />
  
    F_{34}\! \left(x \right) = F_{21}\! \left(x \right) F_{35}\! \left(x \right)<br />
  
    F_{35}\! \left(x \right) = F_{36}\! \left(x \right)<br />
  
    F_{36}\! \left(x \right) = F_{21}\! \left(x \right) F_{37}\! \left(x \right)<br />
  
    F_{37}\! \left(x \right) = F_{278}\! \left(x \right)+F_{38}\! \left(x \right)<br />
  
    F_{38}\! \left(x \right) = F_{276}\! \left(x \right)+F_{39}\! \left(x \right)<br />
  
    F_{39}\! \left(x \right) = F_{40}\! \left(x \right) F_{81}\! \left(x \right)<br />
  
    F_{40}\! \left(x \right) = F_{275}\! \left(x \right)+F_{41}\! \left(x \right)<br />
  
    F_{41}\! \left(x \right) = F_{42}\! \left(x \right)+F_{44}\! \left(x \right)<br />
  
    F_{42}\! \left(x \right) = \frac{F_{43}\! \left(x \right)}{F_{21}\! \left(x \right)}<br />
  
    F_{43}\! \left(x \right) = F_{5}\! \left(x \right)<br />
  
    F_{44}\! \left(x \right) = F_{45}\! \left(x \right)<br />
  
    F_{45}\! \left(x \right) = F_{21}\! \left(x \right) F_{46}\! \left(x \right)<br />
  
    F_{46}\! \left(x \right) = F_{47}\! \left(x \right)+F_{60}\! \left(x \right)<br />
  
    F_{47}\! \left(x \right) = F_{42}\! \left(x \right) F_{48}\! \left(x \right)<br />
  
    F_{48}\! \left(x \right) = F_{22}\! \left(x \right)+F_{49}\! \left(x \right)<br />
  
    F_{49}\! \left(x \right) = F_{50}\! \left(x \right)+F_{55}\! \left(x \right)<br />
  
    F_{50}\! \left(x \right) = F_{21}\! \left(x \right)+F_{51}\! \left(x \right)<br />
  
    F_{51}\! \left(x \right) = F_{33}\! \left(x \right)+F_{52}\! \left(x \right)+F_{53}\! \left(x \right)<br />
  
    F_{52}\! \left(x \right) = F_{21}\! \left(x \right) F_{49}\! \left(x \right)<br />
  
    F_{53}\! \left(x \right) = F_{21}\! \left(x \right) F_{54}\! \left(x \right)<br />
  
    F_{54}\! \left(x \right) = F_{20}\! \left(x \right)<br />
  
    F_{55}\! \left(x \right) = F_{56}\! \left(x \right)<br />
  
    F_{56}\! \left(x \right) = F_{21}\! \left(x \right) F_{57}\! \left(x \right)<br />
  
    F_{57}\! \left(x \right) = F_{58}\! \left(x \right)+F_{59}\! \left(x \right)<br />
  
    F_{58}\! \left(x \right) = F_{22}\! \left(x \right) F_{50}\! \left(x \right)<br />
  
    F_{59}\! \left(x \right) = F_{19}\! \left(x \right) F_{49}\! \left(x \right)<br />
  
    F_{60}\! \left(x \right) = F_{61}\! \left(x \right)<br />
  
    F_{61}\! \left(x \right) = F_{49}\! \left(x \right) F_{62}\! \left(x \right)<br />
  
    F_{62}\! \left(x \right) = \frac{F_{63}\! \left(x \right)}{F_{21}\! \left(x \right)}<br />
  
    F_{63}\! \left(x \right) = F_{64}\! \left(x \right)<br />
  
    F_{64}\! \left(x \right) = F_{65}\! \left(x \right)+F_{66}\! \left(x \right)<br />
  
    F_{65}\! \left(x \right) = x^{2} F_{65} \left(x \right)^{2}+4 x^{2} F_{65}\! \left(x \right)+4 x F_{65} \left(x \right)^{2}+4 x^{2}-5 x F_{65}\! \left(x \right)-F_{65} \left(x \right)^{2}-x +2 F_{65}\! \left(x \right)<br />
  
    F_{66}\! \left(x \right) = F_{67}\! \left(x \right)<br />
  
    F_{67}\! \left(x \right) = F_{21}\! \left(x \right) F_{68}\! \left(x \right)<br />
  
    F_{68}\! \left(x \right) = F_{69}\! \left(x \right)+F_{73}\! \left(x \right)<br />
  
    F_{69}\! \left(x \right) = F_{65}\! \left(x \right) F_{70}\! \left(x \right)<br />
  
    F_{70}\! \left(x \right) = F_{0}\! \left(x \right)+F_{71}\! \left(x \right)<br />
  
    F_{71}\! \left(x \right) = F_{72}\! \left(x \right)<br />
  
    F_{72}\! \left(x \right) = F_{21}\! \left(x \right) F_{42}\! \left(x \right)<br />
  
    F_{73}\! \left(x \right) = F_{0}\! \left(x \right) F_{74}\! \left(x \right)<br />
  
    F_{74}\! \left(x \right) = F_{65}\! \left(x \right)+F_{75}\! \left(x \right)<br />
  
    F_{75}\! \left(x \right) = F_{21}\! \left(x \right) F_{76}\! \left(x \right)<br />
  
    F_{76}\! \left(x \right) = F_{77}\! \left(x \right)+F_{94}\! \left(x \right)<br />
  
    F_{77}\! \left(x \right) = -F_{92}\! \left(x \right)+F_{78}\! \left(x \right)<br />
  
    F_{78}\! \left(x \right) = F_{74}\! \left(x \right)+F_{79}\! \left(x \right)+F_{86}\! \left(x \right)<br />
  
    F_{79}\! \left(x \right) = F_{80}\! \left(x \right)<br />
  
    F_{80}\! \left(x \right) = F_{19}\! \left(x \right) F_{21}\! \left(x \right) F_{65}\! \left(x \right) F_{81}\! \left(x \right)<br />
  
    F_{81}\! \left(x \right) = F_{1}\! \left(x \right)+F_{82}\! \left(x \right)+F_{84}\! \left(x \right)<br />
  
    F_{82}\! \left(x \right) = F_{83}\! \left(x \right)<br />
  
    F_{83}\! \left(x \right) = F_{19}\! \left(x \right) F_{21}\! \left(x \right) F_{81}\! \left(x \right)<br />
  
    F_{84}\! \left(x \right) = F_{85}\! \left(x \right)<br />
  
    F_{85}\! \left(x \right) = F_{19}\! \left(x \right) F_{21}\! \left(x \right) F_{81}\! \left(x \right)<br />
  
    F_{86}\! \left(x \right) = F_{87}\! \left(x \right)<br />
  
    F_{87}\! \left(x \right) = F_{21}\! \left(x \right) F_{88}\! \left(x \right)<br />
  
    F_{88}\! \left(x \right) = F_{89}\! \left(x \right)+F_{90}\! \left(x \right)<br />
  
    F_{89}\! \left(x \right) = F_{19}\! \left(x \right) F_{78}\! \left(x \right)<br />
  
    F_{90}\! \left(x \right) = F_{91}\! \left(x \right)<br />
  
    F_{91}\! \left(x \right) = F_{19}\! \left(x \right) F_{50}\! \left(x \right) F_{74}\! \left(x \right)<br />
  
    F_{92}\! \left(x \right) = F_{65}\! \left(x \right) F_{93}\! \left(x \right)<br />
  
    F_{93}\! \left(x \right) = -F_{19}\! \left(x \right)+F_{81}\! \left(x \right)<br />
  
    F_{94}\! \left(x \right) = F_{267}\! \left(x \right)+F_{74}\! \left(x \right)+F_{95}\! \left(x \right)<br />
  
    F_{95}\! \left(x \right) = F_{96}\! \left(x \right)<br />
  
    F_{96}\! \left(x \right) = F_{21}\! \left(x \right) F_{97}\! \left(x \right)<br />
  
    F_{97}\! \left(x \right) = F_{114}\! \left(x \right)+F_{98}\! \left(x \right)<br />
  
    F_{98}\! \left(x \right) = F_{93}\! \left(x \right) F_{99}\! \left(x \right)<br />
  
    F_{99}\! \left(x \right) = F_{100}\! \left(x \right)+F_{19}\! \left(x \right)<br />
  
    F_{100}\! \left(x \right) = F_{101}\! \left(x \right)<br />
  
    F_{101}\! \left(x \right) = F_{102}\! \left(x \right) F_{21}\! \left(x \right)<br />
  
    F_{102}\! \left(x \right) = F_{103}\! \left(x \right)+F_{110}\! \left(x \right)<br />
  
    F_{103}\! \left(x \right) = F_{104}\! \left(x \right) F_{107}\! \left(x \right)<br />
  
    F_{104}\! \left(x \right) = F_{105}\! \left(x \right)+F_{19}\! \left(x \right)<br />
  
    F_{105}\! \left(x \right) = F_{106}\! \left(x \right)<br />
  
    F_{106}\! \left(x \right) = F_{102}\! \left(x \right) F_{21}\! \left(x \right)<br />
  
    F_{107}\! \left(x \right) = F_{1}\! \left(x \right)+F_{108}\! \left(x \right)<br />
  
    F_{108}\! \left(x \right) = F_{109}\! \left(x \right)<br />
  
    F_{109}\! \left(x \right) = F_{107}\! \left(x \right) F_{21}\! \left(x \right)<br />
  
    F_{110}\! \left(x \right) = F_{111}\! \left(x \right)<br />
  
    F_{111}\! \left(x \right) = F_{104}\! \left(x \right) F_{112}\! \left(x \right) F_{21}\! \left(x \right) F_{22}\! \left(x \right)<br />
  
    F_{112}\! \left(x \right) = F_{113}\! \left(x \right)+F_{93}\! \left(x \right)<br />
  
    F_{113}\! \left(x \right) = F_{107}\! \left(x \right) F_{19}\! \left(x \right)<br />
  
    F_{114}\! \left(x \right) = -F_{266}\! \left(x \right)+F_{115}\! \left(x \right)<br />
  
    F_{115}\! \left(x \right) = F_{116}\! \left(x \right)+F_{117}\! \left(x \right)<br />
  
    F_{116}\! \left(x \right) = F_{100}\! \left(x \right)+F_{92}\! \left(x \right)<br />
  
    F_{117}\! \left(x \right) = -F_{233}\! \left(x \right)+F_{118}\! \left(x \right)<br />
  
    F_{118}\! \left(x \right) = F_{119}\! \left(x \right)+F_{186}\! \left(x \right)+F_{202}\! \left(x \right)+F_{231}\! \left(x \right)<br />
  
    F_{119}\! \left(x \right) = F_{120}\! \left(x \right)+F_{182}\! \left(x \right)<br />
  
    F_{120}\! \left(x \right) = F_{1}\! \left(x \right)+F_{121}\! \left(x \right)+F_{178}\! \left(x \right)+F_{180}\! \left(x \right)<br />
  
    F_{121}\! \left(x \right) = F_{122}\! \left(x \right) F_{21}\! \left(x \right)<br />
  
    F_{122}\! \left(x \right) = \frac{F_{123}\! \left(x \right)}{F_{21}\! \left(x \right)}<br />
  
    F_{123}\! \left(x \right) = F_{124}\! \left(x \right)<br />
  
    F_{124}\! \left(x \right) = F_{125}\! \left(x \right)+F_{134}\! \left(x \right)<br />
  
    F_{125}\! \left(x \right) = F_{126}\! \left(x \right)+F_{50}\! \left(x \right)<br />
  
    F_{126}\! \left(x \right) = F_{127}\! \left(x \right)+F_{129}\! \left(x \right)+F_{33}\! \left(x \right)<br />
  
    F_{127}\! \left(x \right) = F_{128}\! \left(x \right)<br />
  
    F_{128}\! \left(x \right) = F_{125}\! \left(x \right) F_{19}\! \left(x \right) F_{21}\! \left(x \right)<br />
  
    F_{129}\! \left(x \right) = F_{130}\! \left(x \right)<br />
  
    F_{130}\! \left(x \right) = F_{131}\! \left(x \right) F_{21}\! \left(x \right)<br />
  
    F_{131}\! \left(x \right) = F_{132}\! \left(x \right)+F_{133}\! \left(x \right)<br />
  
    F_{132}\! \left(x \right) = F_{50}\! \left(x \right) F_{93}\! \left(x \right)<br />
  
    F_{133}\! \left(x \right) = F_{126}\! \left(x \right) F_{19}\! \left(x \right)<br />
  
    F_{134}\! \left(x \right) = F_{135}\! \left(x \right)<br />
  
    F_{135}\! \left(x \right) = F_{136}\! \left(x \right) F_{21}\! \left(x \right)<br />
  
    F_{136}\! \left(x \right) = \frac{F_{137}\! \left(x \right)}{F_{21}\! \left(x \right)}<br />
  
    F_{137}\! \left(x \right) = F_{138}\! \left(x \right)<br />
  
    F_{138}\! \left(x \right) = -F_{125}\! \left(x \right)-F_{169}\! \left(x \right)+F_{139}\! \left(x \right)<br />
  
    F_{139}\! \left(x \right) = F_{140}\! \left(x \right)<br />
  
    F_{140}\! \left(x \right) = F_{141}\! \left(x \right) F_{21}\! \left(x \right)<br />
  
    F_{141}\! \left(x \right) = \frac{F_{142}\! \left(x \right)}{F_{21}\! \left(x \right)}<br />
  
    F_{142}\! \left(x \right) = F_{143}\! \left(x \right)<br />
  
    F_{143}\! \left(x \right) = \frac{F_{144}\! \left(x \right)}{F_{21}\! \left(x \right)}<br />
  
    F_{144}\! \left(x \right) = F_{145}\! \left(x \right)<br />
  
    F_{145}\! \left(x \right) = F_{146}\! \left(x \right) F_{21}\! \left(x \right)<br />
  
    F_{146}\! \left(x \right) = F_{147}\! \left(x \right)+F_{160}\! \left(x \right)+F_{167}\! \left(x \right)+F_{33}\! \left(x \right)<br />
  
    F_{147}\! \left(x \right) = F_{148}\! \left(x \right) F_{21}\! \left(x \right)<br />
  
    F_{148}\! \left(x \right) = F_{146}\! \left(x \right)+F_{149}\! \left(x \right)<br />
  
    F_{149}\! \left(x \right) = F_{150}\! \left(x \right)<br />
  
    F_{150}\! \left(x \right) = F_{151}\! \left(x \right) F_{21}\! \left(x \right)<br />
  
    F_{151}\! \left(x \right) = F_{152}\! \left(x \right)+F_{158}\! \left(x \right)<br />
  
    F_{152}\! \left(x \right) = F_{153}\! \left(x \right)+F_{157}\! \left(x \right)<br />
  
    F_{153}\! \left(x \right) = F_{154}\! \left(x \right)<br />
  
    F_{154}\! \left(x \right) = F_{155}\! \left(x \right) F_{19}\! \left(x \right) F_{50}\! \left(x \right)<br />
  
    F_{155}\! \left(x \right) = \frac{F_{156}\! \left(x \right)}{F_{21}\! \left(x \right)}<br />
  
    F_{156}\! \left(x \right) = F_{100}\! \left(x \right)<br />
  
    F_{157}\! \left(x \right) = F_{148}\! \left(x \right) F_{19}\! \left(x \right)<br />
  
    F_{158}\! \left(x \right) = F_{159}\! \left(x \right)<br />
  
    F_{159}\! \left(x \right) = F_{146}\! \left(x \right) F_{19}\! \left(x \right) F_{50}\! \left(x \right)<br />
  
    F_{160}\! \left(x \right) = F_{161}\! \left(x \right)<br />
  
    F_{161}\! \left(x \right) = F_{162}\! \left(x \right) F_{21}\! \left(x \right)<br />
  
    F_{162}\! \left(x \right) = F_{146}\! \left(x \right)+F_{163}\! \left(x \right)<br />
  
    F_{163}\! \left(x \right) = F_{164}\! \left(x \right)<br />
  
    F_{164}\! \left(x \right) = F_{165}\! \left(x \right) F_{19}\! \left(x \right) F_{65}\! \left(x \right)<br />
  
    F_{165}\! \left(x \right) = \frac{F_{166}\! \left(x \right)}{F_{19}\! \left(x \right) F_{21}\! \left(x \right)}<br />
  
    F_{166}\! \left(x \right) = F_{126}\! \left(x \right)<br />
  
    F_{167}\! \left(x \right) = F_{168}\! \left(x \right)<br />
  
    F_{168}\! \left(x \right) = F_{155}\! \left(x \right) F_{21}\! \left(x \right)<br />
  
    F_{169}\! \left(x \right) = F_{170}\! \left(x \right)<br />
  
    F_{170}\! \left(x \right) = -F_{171}\! \left(x \right)+F_{139}\! \left(x \right)<br />
  
    F_{171}\! \left(x \right) = F_{172}\! \left(x \right)+F_{173}\! \left(x \right)<br />
  
    F_{172}\! \left(x \right) = F_{104}\! \left(x \right) F_{21}\! \left(x \right)<br />
  
    F_{173}\! \left(x \right) = F_{174}\! \left(x \right)<br />
  
    F_{174}\! \left(x \right) = F_{104}\! \left(x \right) F_{175}\! \left(x \right) F_{21}\! \left(x \right)<br />
  
    F_{175}\! \left(x \right) = F_{176}\! \left(x \right)+F_{177}\! \left(x \right)<br />
  
    F_{176}\! \left(x \right) = F_{50}\! \left(x \right) F_{81}\! \left(x \right)<br />
  
    F_{177}\! \left(x \right) = F_{125}\! \left(x \right) F_{19}\! \left(x \right)<br />
  
    F_{178}\! \left(x \right) = F_{179}\! \left(x \right)<br />
  
    F_{179}\! \left(x \right) = F_{21}\! \left(x \right) F_{81}\! \left(x \right) F_{99}\! \left(x \right)<br />
  
    F_{180}\! \left(x \right) = F_{181}\! \left(x \right)<br />
  
    F_{181}\! \left(x \right) = F_{120}\! \left(x \right) F_{19}\! \left(x \right) F_{21}\! \left(x \right)<br />
  
    F_{182}\! \left(x \right) = F_{183}\! \left(x \right)<br />
  
    F_{183}\! \left(x \right) = F_{184}\! \left(x \right) F_{21}\! \left(x \right) F_{81}\! \left(x \right)<br />
  
    F_{184}\! \left(x \right) = F_{116}\! \left(x \right)+F_{185}\! \left(x \right)<br />
  
    F_{185}\! \left(x \right) = F_{19}\! \left(x \right) F_{99}\! \left(x \right)<br />
  
    F_{186}\! \left(x \right) = F_{187}\! \left(x \right) F_{21}\! \left(x \right)<br />
  
    F_{187}\! \left(x \right) = \frac{F_{188}\! \left(x \right)}{F_{21}\! \left(x \right)}<br />
  
    F_{188}\! \left(x \right) = F_{189}\! \left(x \right)<br />
  
    F_{189}\! \left(x \right) = F_{190}\! \left(x \right)+F_{192}\! \left(x \right)<br />
  
    F_{190}\! \left(x \right) = F_{191}\! \left(x \right)<br />
  
    F_{191}\! \left(x \right) = F_{122}\! \left(x \right) F_{21}\! \left(x \right)<br />
  
    F_{192}\! \left(x \right) = F_{193}\! \left(x \right)<br />
  
    F_{193}\! \left(x \right) = F_{19}\! \left(x \right) F_{194}\! \left(x \right) F_{65}\! \left(x \right)<br />
  
    F_{194}\! \left(x \right) = F_{195}\! \left(x \right)+F_{200}\! \left(x \right)+F_{21}\! \left(x \right)<br />
  
    F_{195}\! \left(x \right) = F_{196}\! \left(x \right)<br />
  
    F_{196}\! \left(x \right) = F_{197}\! \left(x \right) F_{21}\! \left(x \right)<br />
  
    F_{197}\! \left(x \right) = F_{198}\! \left(x \right)+F_{199}\! \left(x \right)<br />
  
    F_{198}\! \left(x \right) = F_{19}\! \left(x \right) F_{194}\! \left(x \right)<br />
  
    F_{199}\! \left(x \right) = F_{50}\! \left(x \right) F_{81}\! \left(x \right)<br />
  
    F_{200}\! \left(x \right) = F_{201}\! \left(x \right)<br />
  
    F_{201}\! \left(x \right) = F_{19}\! \left(x \right) F_{194}\! \left(x \right) F_{21}\! \left(x \right)<br />
  
    F_{202}\! \left(x \right) = F_{203}\! \left(x \right)<br />
  
    F_{203}\! \left(x \right) = F_{204}\! \left(x \right) F_{21}\! \left(x \right) F_{81}\! \left(x \right)<br />
  
    F_{204}\! \left(x \right) = \frac{F_{205}\! \left(x \right)}{F_{21}\! \left(x \right)}<br />
  
    F_{205}\! \left(x \right) = F_{206}\! \left(x \right)<br />
  
    F_{206}\! \left(x \right) = -F_{227}\! \left(x \right)+F_{207}\! \left(x \right)<br />
  
    F_{207}\! \left(x \right) = F_{19}\! \left(x \right)+F_{208}\! \left(x \right)+F_{213}\! \left(x \right)<br />
  
    F_{208}\! \left(x \right) = F_{209}\! \left(x \right)<br />
  
    F_{209}\! \left(x \right) = F_{21}\! \left(x \right) F_{210}\! \left(x \right)<br />
  
    F_{210}\! \left(x \right) = F_{102}\! \left(x \right)+F_{211}\! \left(x \right)<br />
  
    F_{211}\! \left(x \right) = F_{212}\! \left(x \right)<br />
  
    F_{212}\! \left(x \right) = F_{102}\! \left(x \right) F_{19}\! \left(x \right) F_{21}\! \left(x \right)<br />
  
    F_{213}\! \left(x \right) = F_{214}\! \left(x \right)<br />
  
    F_{214}\! \left(x \right) = F_{19}\! \left(x \right) F_{21}\! \left(x \right) F_{215}\! \left(x \right)<br />
  
    F_{215}\! \left(x \right) = F_{216}\! \left(x \right)+F_{218}\! \left(x \right)<br />
  
    F_{216}\! \left(x \right) = F_{217}\! \left(x \right)<br />
  
    F_{217}\! \left(x \right) = F_{19} \left(x \right)^{2}<br />
  
    F_{218}\! \left(x \right) = F_{219}\! \left(x \right)<br />
  
    F_{219}\! \left(x \right) = F_{220}\! \left(x \right)+F_{221}\! \left(x \right)<br />
  
    F_{220}\! \left(x \right) = F_{106}\! \left(x \right)<br />
  
    F_{221}\! \left(x \right) = F_{222}\! \left(x \right)<br />
  
    F_{222}\! \left(x \right) = F_{21}\! \left(x \right) F_{223}\! \left(x \right)<br />
  
    F_{223}\! \left(x \right) = F_{224}\! \left(x \right)+F_{226}\! \left(x \right)<br />
  
    F_{224}\! \left(x \right) = F_{225}\! \left(x \right)<br />
  
    F_{225}\! \left(x \right) = F_{104}\! \left(x \right) F_{19}\! \left(x \right) F_{50}\! \left(x \right)<br />
  
    F_{226}\! \left(x \right) = F_{19}\! \left(x \right) F_{219}\! \left(x \right)<br />
  
    F_{227}\! \left(x \right) = F_{1}\! \left(x \right)+F_{228}\! \left(x \right)+F_{230}\! \left(x \right)<br />
  
    F_{228}\! \left(x \right) = F_{21}\! \left(x \right) F_{229}\! \left(x \right)<br />
  
    F_{229}\! \left(x \right) = F_{104}\! \left(x \right)+F_{220}\! \left(x \right)<br />
  
    F_{230}\! \left(x \right) = F_{21}\! \left(x \right) F_{215}\! \left(x \right)<br />
  
    F_{231}\! \left(x \right) = F_{232}\! \left(x \right)<br />
  
    F_{232}\! \left(x \right) = F_{118}\! \left(x \right) F_{19}\! \left(x \right) F_{21}\! \left(x \right)<br />
  
    F_{233}\! \left(x \right) = -F_{234}\! \left(x \right)+F_{118}\! \left(x \right)<br />
  
    F_{234}\! \left(x \right) = F_{235}\! \left(x \right)<br />
  
    F_{235}\! \left(x \right) = F_{21}\! \left(x \right) F_{236}\! \left(x \right)<br />
  
    F_{236}\! \left(x \right) = \frac{F_{237}\! \left(x \right)}{F_{21}\! \left(x \right)}<br />
  
    F_{237}\! \left(x \right) = F_{238}\! \left(x \right)<br />
  
    F_{238}\! \left(x \right) = -F_{204}\! \left(x \right)-F_{264}\! \left(x \right)+F_{239}\! \left(x \right)<br />
  
    F_{239}\! \left(x \right) = F_{240}\! \left(x \right)<br />
  
    F_{240}\! \left(x \right) = -F_{261}\! \left(x \right)+F_{241}\! \left(x \right)<br />
  
    F_{241}\! \left(x \right) = \frac{F_{242}\! \left(x \right)}{F_{21}\! \left(x \right)}<br />
  
    F_{242}\! \left(x \right) = F_{243}\! \left(x \right)<br />
  
    F_{243}\! \left(x \right) = F_{21}\! \left(x \right) F_{244}\! \left(x \right)<br />
  
    F_{244}\! \left(x \right) = F_{245}\! \left(x \right)+F_{246}\! \left(x \right)<br />
  
    F_{245}\! \left(x \right) = F_{118}\! \left(x \right)<br />
  
    F_{246}\! \left(x \right) = F_{247}\! \left(x \right)<br />
  
    F_{247}\! \left(x \right) = \frac{F_{248}\! \left(x \right)}{F_{21}\! \left(x \right)}<br />
  
    F_{248}\! \left(x \right) = F_{249}\! \left(x \right)<br />
  
    F_{249}\! \left(x \right) = -F_{250}\! \left(x \right)+F_{189}\! \left(x \right)<br />
  
    F_{250}\! \left(x \right) = F_{251}\! \left(x \right)+F_{259}\! \left(x \right)<br />
  
    F_{251}\! \left(x \right) = F_{252}\! \left(x \right)+F_{50}\! \left(x \right)<br />
  
    F_{252}\! \left(x \right) = F_{253}\! \left(x \right)<br />
  
    F_{253}\! \left(x \right) = F_{21}\! \left(x \right) F_{254}\! \left(x \right)<br />
  
    F_{254}\! \left(x \right) = -F_{210}\! \left(x \right)+F_{255}\! \left(x \right)<br />
  
    F_{255}\! \left(x \right) = \frac{F_{256}\! \left(x \right)}{F_{21}\! \left(x \right)}<br />
  
    F_{256}\! \left(x \right) = F_{257}\! \left(x \right)<br />
  
    F_{257}\! \left(x \right) = -F_{258}\! \left(x \right)+F_{229}\! \left(x \right)<br />
  
    F_{258}\! \left(x \right) = F_{19}\! \left(x \right)+F_{50}\! \left(x \right)<br />
  
    F_{259}\! \left(x \right) = F_{260}\! \left(x \right)<br />
  
    F_{260}\! \left(x \right) = F_{19}\! \left(x \right) F_{50}\! \left(x \right) F_{65}\! \left(x \right)<br />
  
    F_{261}\! \left(x \right) = F_{262}\! \left(x \right)<br />
  
    F_{262}\! \left(x \right) = \frac{F_{263}\! \left(x \right)}{F_{21}\! \left(x \right)}<br />
  
    F_{263}\! \left(x \right) = F_{249}\! \left(x \right)<br />
  
    F_{264}\! \left(x \right) = F_{265}\! \left(x \right)<br />
  
    F_{265}\! \left(x \right) = F_{19}\! \left(x \right) F_{21}\! \left(x \right) F_{239}\! \left(x \right)<br />
  
    F_{266}\! \left(x \right) = F_{207}\! \left(x \right) F_{93}\! \left(x \right)<br />
  
    F_{267}\! \left(x \right) = F_{268}\! \left(x \right)<br />
  
    F_{268}\! \left(x \right) = F_{21}\! \left(x \right) F_{269}\! \left(x \right)<br />
  
    F_{269}\! \left(x \right) = F_{163}\! \left(x \right)+F_{270}\! \left(x \right)<br />
  
    F_{270}\! \left(x \right) = \frac{F_{271}\! \left(x \right)}{F_{21}\! \left(x \right)}<br />
  
    F_{271}\! \left(x \right) = F_{272}\! \left(x \right)<br />
  
    F_{272}\! \left(x \right) = F_{273}\! \left(x \right)<br />
  
    F_{273}\! \left(x \right) = -F_{274}\! \left(x \right)-F_{33}\! \left(x \right)+F_{74}\! \left(x \right)<br />
  
    F_{274}\! \left(x \right) = F_{120}\! \left(x \right) F_{21}\! \left(x \right)<br />
  
    F_{275}\! \left(x \right) = F_{0}\! \left(x \right) F_{100}\! \left(x \right)<br />
  
    F_{276}\! \left(x \right) = F_{277}\! \left(x \right)<br />
  
    F_{277}\! \left(x \right) = F_{19}\! \left(x \right) F_{194}\! \left(x \right) F_{62}\! \left(x \right)<br />
  
    F_{278}\! \left(x \right) = F_{279}\! \left(x \right)<br />
  
    F_{279}\! \left(x \right) = F_{19}\! \left(x \right) F_{194}\! \left(x \right) F_{42}\! \left(x \right)<br />
  
    F_{280}\! \left(x \right) = F_{281}\! \left(x \right)<br />
  
    F_{281}\! \left(x \right) = F_{21}\! \left(x \right) F_{282}\! \left(x \right)<br />
  
    F_{282}\! \left(x \right) = F_{283}\! \left(x \right)+F_{465}\! \left(x \right)<br />
  
    F_{283}\! \left(x \right) = F_{284}\! \left(x \right)+F_{381}\! \left(x \right)<br />
  
    F_{284}\! \left(x \right) = F_{285}\! \left(x \right)+F_{307}\! \left(x \right)<br />
  
    F_{285}\! \left(x \right) = F_{0}\! \left(x \right)+F_{286}\! \left(x \right)+F_{305}\! \left(x \right)<br />
  
    F_{286}\! \left(x \right) = F_{287}\! \left(x \right)<br />
  
    F_{287}\! \left(x \right) = F_{21}\! \left(x \right) F_{288}\! \left(x \right)<br />
  
    F_{288}\! \left(x \right) = -F_{302}\! \left(x \right)+F_{289}\! \left(x \right)<br />
  
    F_{289}\! \left(x \right) = \frac{F_{290}\! \left(x \right)}{F_{21}\! \left(x \right)}<br />
  
    F_{290}\! \left(x \right) = F_{291}\! \left(x \right)<br />
  
    F_{291}\! \left(x \right) = -F_{294}\! \left(x \right)-F_{296}\! \left(x \right)+F_{292}\! \left(x \right)<br />
  
    F_{292}\! \left(x \right) = \frac{F_{293}\! \left(x \right)}{F_{21}\! \left(x \right)}<br />
  
    F_{293}\! \left(x \right) = F_{64}\! \left(x \right)<br />
  
    F_{294}\! \left(x \right) = F_{0}\! \left(x \right) F_{295}\! \left(x \right)<br />
  
    F_{295}\! \left(x \right) = F_{1}\! \left(x \right)+F_{21}\! \left(x \right)<br />
  
    F_{296}\! \left(x \right) = F_{297}\! \left(x \right)<br />
  
    F_{297}\! \left(x \right) = F_{21}\! \left(x \right) F_{298}\! \left(x \right)<br />
  
    F_{298}\! \left(x \right) = F_{299}\! \left(x \right)+F_{300}\! \left(x \right)<br />
  
    F_{299}\! \left(x \right) = F_{19}\! \left(x \right) F_{292}\! \left(x \right)<br />
  
    F_{300}\! \left(x \right) = F_{301}\! \left(x \right)<br />
  
    F_{301}\! \left(x \right) = F_{0}\! \left(x \right) F_{50}\! \left(x \right) F_{99}\! \left(x \right)<br />
  
    F_{302}\! \left(x \right) = F_{303}\! \left(x \right)<br />
  
    F_{303}\! \left(x \right) = F_{0}\! \left(x \right) F_{304}\! \left(x \right)<br />
  
    F_{304}\! \left(x \right) = F_{123}\! \left(x \right)<br />
  
    F_{305}\! \left(x \right) = F_{306}\! \left(x \right)<br />
  
    F_{306}\! \left(x \right) = F_{19}\! \left(x \right) F_{21}\! \left(x \right) F_{285}\! \left(x \right)<br />
  
    F_{307}\! \left(x \right) = F_{308}\! \left(x \right)<br />
  
    F_{308}\! \left(x \right) = F_{21}\! \left(x \right) F_{309}\! \left(x \right)<br />
  
    F_{309}\! \left(x \right) = F_{284}\! \left(x \right)+F_{310}\! \left(x \right)+F_{317}\! \left(x \right)+F_{379}\! \left(x \right)<br />
  
    F_{310}\! \left(x \right) = F_{21}\! \left(x \right) F_{311}\! \left(x \right)<br />
  
    F_{311}\! \left(x \right) = \frac{F_{312}\! \left(x \right)}{F_{21}\! \left(x \right)}<br />
  
    F_{312}\! \left(x \right) = F_{313}\! \left(x \right)<br />
  
    F_{313}\! \left(x \right) = F_{314}\! \left(x \right)+F_{315}\! \left(x \right)<br />
  
    F_{314}\! \left(x \right) = F_{0}\! \left(x \right) F_{190}\! \left(x \right)<br />
  
    F_{315}\! \left(x \right) = F_{316}\! \left(x \right)<br />
  
    F_{316}\! \left(x \right) = F_{19}\! \left(x \right) F_{194}\! \left(x \right) F_{64}\! \left(x \right)<br />
  
    F_{317}\! \left(x \right) = F_{318}\! \left(x \right)<br />
  
    F_{318}\! \left(x \right) = F_{21}\! \left(x \right) F_{319}\! \left(x \right) F_{81}\! \left(x \right)<br />
  
    F_{319}\! \left(x \right) = F_{320}\! \left(x \right)<br />
  
    F_{320}\! \left(x \right) = -F_{355}\! \left(x \right)+F_{321}\! \left(x \right)<br />
  
    F_{321}\! \left(x \right) = \frac{F_{322}\! \left(x \right)}{F_{21}\! \left(x \right)}<br />
  
    F_{322}\! \left(x \right) = F_{323}\! \left(x \right)<br />
  
    F_{323}\! \left(x \right) = -F_{325}\! \left(x \right)+F_{324}\! \left(x \right)<br />
  
    F_{324}\! \left(x \right) = F_{325}\! \left(x \right)+F_{326}\! \left(x \right)<br />
  
    F_{325}\! \left(x \right) = F_{0}\! \left(x \right)+F_{64}\! \left(x \right)<br />
  
    F_{326}\! \left(x \right) = -F_{351}\! \left(x \right)+F_{327}\! \left(x \right)<br />
  
    F_{327}\! \left(x \right) = F_{328}\! \left(x \right)<br />
  
    F_{328}\! \left(x \right) = F_{21}\! \left(x \right) F_{329}\! \left(x \right)<br />
  
    F_{329}\! \left(x \right) = F_{330}\! \left(x \right)+F_{347}\! \left(x \right)<br />
  
    F_{330}\! \left(x \right) = F_{331}\! \left(x \right)+F_{335}\! \left(x \right)<br />
  
    F_{331}\! \left(x \right) = F_{295}\! \left(x \right) F_{332}\! \left(x \right)<br />
  
    F_{332}\! \left(x \right) = F_{333}\! \left(x \right)+F_{334}\! \left(x \right)<br />
  
    F_{333}\! \left(x \right) = F_{0}\! \left(x \right) F_{104}\! \left(x \right)<br />
  
    F_{334}\! \left(x \right) = F_{22}\! \left(x \right) F_{64}\! \left(x \right)<br />
  
    F_{335}\! \left(x \right) = F_{336}\! \left(x \right)<br />
  
    F_{336}\! \left(x \right) = F_{0}\! \left(x \right) F_{337}\! \left(x \right)<br />
  
    F_{337}\! \left(x \right) = -F_{346}\! \left(x \right)+F_{338}\! \left(x \right)<br />
  
    F_{338}\! \left(x \right) = F_{339}\! \left(x \right)+F_{345}\! \left(x \right)<br />
  
    F_{339}\! \left(x \right) = F_{340}\! \left(x \right) F_{341}\! \left(x \right)<br />
  
    F_{340}\! \left(x \right) = x^{2} F_{340} \left(x \right)^{2}+2 x^{2} F_{340}\! \left(x \right)+4 x F_{340} \left(x \right)^{2}+x^{2}-13 x F_{340}\! \left(x \right)-F_{340} \left(x \right)^{2}+8 x +4 F_{340}\! \left(x \right)-2<br />
  
    F_{341}\! \left(x \right) = F_{342}\! \left(x \right)<br />
  
    F_{342}\! \left(x \right) = F_{21}\! \left(x \right) F_{343}\! \left(x \right)<br />
  
    F_{343}\! \left(x \right) = \frac{F_{344}\! \left(x \right)}{F_{21}\! \left(x \right)}<br />
  
    F_{344}\! \left(x \right) = F_{74}\! \left(x \right)<br />
  
    F_{345}\! \left(x \right) = F_{49}\! \left(x \right) F_{65}\! \left(x \right)<br />
  
    F_{346}\! \left(x \right) = F_{341}\! \left(x \right) F_{65}\! \left(x \right)<br />
  
    F_{347}\! \left(x \right) = F_{348}\! \left(x \right)<br />
  
    F_{348}\! \left(x \right) = F_{349}\! \left(x \right)+F_{350}\! \left(x \right)<br />
  
    F_{349}\! \left(x \right) = F_{0}\! \left(x \right) F_{220}\! \left(x \right)<br />
  
    F_{350}\! \left(x \right) = F_{49}\! \left(x \right) F_{64}\! \left(x \right)<br />
  
    F_{351}\! \left(x \right) = F_{352}\! \left(x \right)<br />
  
    F_{352}\! \left(x \right) = F_{21}\! \left(x \right) F_{353}\! \left(x \right)<br />
  
    F_{353}\! \left(x \right) = F_{354}\! \left(x \right)<br />
  
    F_{354}\! \left(x \right) = F_{21}\! \left(x \right) F_{332}\! \left(x \right)<br />
  
    F_{355}\! \left(x \right) = F_{356}\! \left(x \right)<br />
  
    F_{356}\! \left(x \right) = -F_{374}\! \left(x \right)+F_{357}\! \left(x \right)<br />
  
    F_{357}\! \left(x \right) = F_{358}\! \left(x \right)+F_{364}\! \left(x \right)<br />
  
    F_{358}\! \left(x \right) = F_{359}\! \left(x \right)+F_{362}\! \left(x \right)<br />
  
    F_{359}\! \left(x \right) = F_{0}\! \left(x \right) F_{360}\! \left(x \right)<br />
  
    F_{360}\! \left(x \right) = F_{361}\! \left(x \right)<br />
  
    F_{361}\! \left(x \right) = F_{120}\! \left(x \right) F_{21}\! \left(x \right)<br />
  
    F_{362}\! \left(x \right) = F_{363}\! \left(x \right)<br />
  
    F_{363}\! \left(x \right) = F_{19}\! \left(x \right) F_{50}\! \left(x \right) F_{64}\! \left(x \right)<br />
  
    F_{364}\! \left(x \right) = F_{365}\! \left(x \right)<br />
  
    F_{365}\! \left(x \right) = F_{21}\! \left(x \right) F_{366}\! \left(x \right)<br />
  
    F_{366}\! \left(x \right) = F_{367}\! \left(x \right)+F_{373}\! \left(x \right)<br />
  
    F_{367}\! \left(x \right) = F_{368}\! \left(x \right)<br />
  
    F_{368}\! \left(x \right) = F_{19}\! \left(x \right) F_{369}\! \left(x \right) F_{50}\! \left(x \right)<br />
  
    F_{369}\! \left(x \right) = F_{370}\! \left(x \right)+F_{371}\! \left(x \right)<br />
  
    F_{370}\! \left(x \right) = F_{0}\! \left(x \right) F_{99}\! \left(x \right)<br />
  
    F_{371}\! \left(x \right) = F_{372}\! \left(x \right)<br />
  
    F_{372}\! \left(x \right) = F_{19} \left(x \right)^{2} F_{64}\! \left(x \right)<br />
  
    F_{373}\! \left(x \right) = F_{19}\! \left(x \right) F_{357}\! \left(x \right)<br />
  
    F_{374}\! \left(x \right) = F_{375}\! \left(x \right)<br />
  
    F_{375}\! \left(x \right) = F_{19}\! \left(x \right) F_{376}\! \left(x \right) F_{64}\! \left(x \right)<br />
  
    F_{376}\! \left(x \right) = \frac{F_{377}\! \left(x \right)}{F_{21}\! \left(x \right)}<br />
  
    F_{377}\! \left(x \right) = -F_{33}\! \left(x \right)-F_{378}\! \left(x \right)+F_{51}\! \left(x \right)<br />
  
    F_{378}\! \left(x \right) = F_{21}\! \left(x \right) F_{54}\! \left(x \right)<br />
  
    F_{379}\! \left(x \right) = F_{380}\! \left(x \right)<br />
  
    F_{380}\! \left(x \right) = F_{19}\! \left(x \right) F_{21}\! \left(x \right) F_{309}\! \left(x \right)<br />
  
    F_{381}\! \left(x \right) = F_{382}\! \left(x \right)<br />
  
    F_{382}\! \left(x \right) = F_{0}\! \left(x \right) F_{383}\! \left(x \right)<br />
  
    F_{383}\! \left(x \right) = F_{384}\! \left(x \right)<br />
  
    F_{384}\! \left(x \right) = -F_{464}\! \left(x \right)+F_{385}\! \left(x \right)<br />
  
    F_{385}\! \left(x \right) = \frac{F_{386}\! \left(x \right)}{F_{21}\! \left(x \right)}<br />
  
    F_{386}\! \left(x \right) = F_{387}\! \left(x \right)<br />
  
    F_{387}\! \left(x \right) = F_{21}\! \left(x \right) F_{388}\! \left(x \right)<br />
  
    F_{388}\! \left(x \right) = F_{389}\! \left(x \right)+F_{463}\! \left(x \right)<br />
  
    F_{389}\! \left(x \right) = F_{390}\! \left(x \right)+F_{391}\! \left(x \right)<br />
  
    F_{390}\! \left(x \right) = F_{125}\! \left(x \right)+F_{81}\! \left(x \right)<br />
  
    F_{391}\! \left(x \right) = F_{392}\! \left(x \right)<br />
  
    F_{392}\! \left(x \right) = F_{21}\! \left(x \right) F_{393}\! \left(x \right)<br />
  
    F_{393}\! \left(x \right) = F_{394}\! \left(x \right)+F_{461}\! \left(x \right)<br />
  
    F_{394}\! \left(x \right) = \frac{F_{395}\! \left(x \right)}{F_{21}\! \left(x \right)}<br />
  
    F_{395}\! \left(x \right) = F_{396}\! \left(x \right)<br />
  
    F_{396}\! \left(x \right) = -F_{390}\! \left(x \right)+F_{397}\! \left(x \right)<br />
  
    F_{397}\! \left(x \right) = F_{398}\! \left(x \right)+F_{448}\! \left(x \right)<br />
  
    F_{398}\! \left(x \right) = -F_{445}\! \left(x \right)+F_{399}\! \left(x \right)<br />
  
    F_{399}\! \left(x \right) = F_{400}\! \left(x \right)+F_{401}\! \left(x \right)<br />
  
    F_{400}\! \left(x \right) = F_{194}\! \left(x \right)+F_{81}\! \left(x \right)<br />
  
    F_{401}\! \left(x \right) = F_{402}\! \left(x \right)<br />
  
    F_{402}\! \left(x \right) = F_{21}\! \left(x \right) F_{403}\! \left(x \right)<br />
  
    F_{403}\! \left(x \right) = F_{404}\! \left(x \right)+F_{435}\! \left(x \right)<br />
  
    F_{404}\! \left(x \right) = F_{405}\! \left(x \right)+F_{433}\! \left(x \right)<br />
  
    F_{405}\! \left(x \right) = -F_{431}\! \left(x \right)+F_{406}\! \left(x \right)<br />
  
    F_{406}\! \left(x \right) = -F_{430}\! \left(x \right)+F_{407}\! \left(x \right)<br />
  
    F_{407}\! \left(x \right) = \frac{F_{408}\! \left(x \right)}{F_{21}\! \left(x \right)}<br />
  
    F_{408}\! \left(x \right) = F_{409}\! \left(x \right)<br />
  
    F_{409}\! \left(x \right) = -F_{390}\! \left(x \right)-F_{411}\! \left(x \right)+F_{410}\! \left(x \right)<br />
  
    F_{410}\! \left(x \right) = F_{139}\! \left(x \right)+F_{343}\! \left(x \right)<br />
  
    F_{411}\! \left(x \right) = F_{412}\! \left(x \right)<br />
  
    F_{412}\! \left(x \right) = F_{21}\! \left(x \right) F_{413}\! \left(x \right)<br />
  
    F_{413}\! \left(x \right) = F_{414}\! \left(x \right)+F_{427}\! \left(x \right)<br />
  
    F_{414}\! \left(x \right) = F_{415}\! \left(x \right)+F_{425}\! \left(x \right)<br />
  
    F_{415}\! \left(x \right) = \frac{F_{416}\! \left(x \right)}{F_{21}\! \left(x \right)}<br />
  
    F_{416}\! \left(x \right) = F_{417}\! \left(x \right)<br />
  
    F_{417}\! \left(x \right) = -F_{424}\! \left(x \right)+F_{418}\! \left(x \right)<br />
  
    F_{418}\! \left(x \right) = F_{419}\! \left(x \right)+F_{422}\! \left(x \right)<br />
  
    F_{419}\! \left(x \right) = \frac{F_{420}\! \left(x \right)}{F_{21}\! \left(x \right)}<br />
  
    F_{420}\! \left(x \right) = F_{421}\! \left(x \right)<br />
  
    F_{421}\! \left(x \right) = F_{272}\! \left(x \right)+F_{74}\! \left(x \right)<br />
  
    F_{422}\! \left(x \right) = F_{423}\! \left(x \right)<br />
  
    F_{423}\! \left(x \right) = F_{141}\! \left(x \right) F_{21}\! \left(x \right)<br />
  
    F_{424}\! \left(x \right) = F_{343}\! \left(x \right)+F_{422}\! \left(x \right)<br />
  
    F_{425}\! \left(x \right) = F_{426}\! \left(x \right)<br />
  
    F_{426}\! \left(x \right) = F_{102}\! \left(x \right) F_{21}\! \left(x \right) F_{81}\! \left(x \right)<br />
  
    F_{427}\! \left(x \right) = -F_{425}\! \left(x \right)+F_{428}\! \left(x \right)<br />
  
    F_{428}\! \left(x \right) = \frac{F_{429}\! \left(x \right)}{F_{21}\! \left(x \right)}<br />
  
    F_{429}\! \left(x \right) = F_{169}\! \left(x \right)<br />
  
    F_{430}\! \left(x \right) = F_{136}\! \left(x \right)<br />
  
    F_{431}\! \left(x \right) = F_{432}\! \left(x \right)<br />
  
    F_{432}\! \left(x \right) = F_{19}\! \left(x \right) F_{21}\! \left(x \right) F_{406}\! \left(x \right)<br />
  
    F_{433}\! \left(x \right) = F_{434}\! \left(x \right)<br />
  
    F_{434}\! \left(x \right) = F_{102}\! \left(x \right) F_{21}\! \left(x \right) F_{81}\! \left(x \right)<br />
  
    F_{435}\! \left(x \right) = -F_{447}\! \left(x \right)+F_{436}\! \left(x \right)<br />
  
    F_{436}\! \left(x \right) = \frac{F_{437}\! \left(x \right)}{F_{21}\! \left(x \right)}<br />
  
    F_{437}\! \left(x \right) = F_{438}\! \left(x \right)<br />
  
    F_{438}\! \left(x \right) = -F_{400}\! \left(x \right)-F_{439}\! \left(x \right)+F_{424}\! \left(x \right)<br />
  
    F_{439}\! \left(x \right) = F_{440}\! \left(x \right)<br />
  
    F_{440}\! \left(x \right) = F_{21}\! \left(x \right) F_{441}\! \left(x \right)<br />
  
    F_{441}\! \left(x \right) = F_{415}\! \left(x \right)+F_{442}\! \left(x \right)<br />
  
    F_{442}\! \left(x \right) = \frac{F_{443}\! \left(x \right)}{F_{21}\! \left(x \right)}<br />
  
    F_{443}\! \left(x \right) = F_{444}\! \left(x \right)<br />
  
    F_{444}\! \left(x \right) = -F_{445}\! \left(x \right)+F_{422}\! \left(x \right)<br />
  
    F_{445}\! \left(x \right) = F_{446}\! \left(x \right)<br />
  
    F_{446}\! \left(x \right) = F_{21}\! \left(x \right) F_{405}\! \left(x \right)<br />
  
    F_{447}\! \left(x \right) = F_{406}\! \left(x \right)+F_{433}\! \left(x \right)<br />
  
    F_{448}\! \left(x \right) = F_{172}\! \left(x \right)+F_{449}\! \left(x \right)<br />
  
    F_{449}\! \left(x \right) = F_{450}\! \left(x \right)<br />
  
    F_{450}\! \left(x \right) = F_{21}\! \left(x \right) F_{451}\! \left(x \right)<br />
  
    F_{451}\! \left(x \right) = F_{452}\! \left(x \right)+F_{459}\! \left(x \right)<br />
  
    F_{452}\! \left(x \right) = F_{453}\! \left(x \right) F_{50}\! \left(x \right)<br />
  
    F_{453}\! \left(x \right) = \frac{F_{454}\! \left(x \right)}{F_{258}\! \left(x \right)}<br />
  
    F_{454}\! \left(x \right) = -F_{459}\! \left(x \right)+F_{455}\! \left(x \right)<br />
  
    F_{455}\! \left(x \right) = \frac{F_{456}\! \left(x \right)}{F_{21}\! \left(x \right)}<br />
  
    F_{456}\! \left(x \right) = F_{457}\! \left(x \right)<br />
  
    F_{457}\! \left(x \right) = -F_{458}\! \left(x \right)+F_{397}\! \left(x \right)<br />
  
    F_{458}\! \left(x \right) = F_{104}\! \left(x \right) F_{295}\! \left(x \right)<br />
  
    F_{459}\! \left(x \right) = F_{460}\! \left(x \right)<br />
  
    F_{460}\! \left(x \right) = F_{104}\! \left(x \right) F_{125}\! \left(x \right) F_{19}\! \left(x \right)<br />
  
    F_{461}\! \left(x \right) = F_{462}\! \left(x \right)<br />
  
    F_{462}\! \left(x \right) = F_{21}\! \left(x \right) F_{258}\! \left(x \right) F_{406}\! \left(x \right)<br />
  
    F_{463}\! \left(x \right) = F_{124}\! \left(x \right)<br />
  
    F_{464}\! \left(x \right) = F_{120}\! \left(x \right)+F_{190}\! \left(x \right)<br />
  
    F_{465}\! \left(x \right) = F_{466}\! \left(x \right)<br />
  
    F_{466}\! \left(x \right) = F_{0}\! \left(x \right) F_{124}\! \left(x \right)<br />
  
    F_{467}\! \left(x \right) = F_{468}\! \left(x \right)<br />
  
    F_{468}\! \left(x \right) = F_{21}\! \left(x \right) F_{469}\! \left(x \right)<br />
  
    F_{469}\! \left(x \right) = F_{470}\! \left(x \right)+F_{477}\! \left(x \right)<br />
  
    F_{470}\! \left(x \right) = F_{292}\! \left(x \right)+F_{471}\! \left(x \right)<br />
  
    F_{471}\! \left(x \right) = F_{472}\! \left(x \right)<br />
  
    F_{472}\! \left(x \right) = F_{21}\! \left(x \right) F_{473}\! \left(x \right)<br />
  
    F_{473}\! \left(x \right) = F_{474}\! \left(x \right)+F_{475}\! \left(x \right)<br />
  
    F_{474}\! \left(x \right) = F_{19}\! \left(x \right) F_{40}\! \left(x \right)<br />
  
    F_{475}\! \left(x \right) = F_{476}\! \left(x \right)<br />
  
    F_{476}\! \left(x \right) = F_{19}\! \left(x \right) F_{50}\! \left(x \right) F_{62}\! \left(x \right)<br />
  
    F_{477}\! \left(x \right) = F_{478}\! \left(x \right)<br />
  
    F_{478}\! \left(x \right) = F_{479}\! \left(x \right)+F_{480}\! \left(x \right)<br />
  
    F_{479}\! \left(x \right) = F_{0}\! \left(x \right) F_{251}\! \left(x \right)<br />
  
    F_{480}\! \left(x \right) = F_{481}\! \left(x \right)<br />
  
    F_{481}\! \left(x \right) = F_{19}\! \left(x \right) F_{5}\! \left(x \right) F_{50}\! \left(x \right)<br />
  
    F_{482}\! \left(x \right) = F_{483}\! \left(x \right)<br />
  
    F_{483}\! \left(x \right) = F_{21}\! \left(x \right) F_{484}\! \left(x \right)<br />
  
    F_{484}\! \left(x \right) = F_{303}\! \left(x \right)+F_{485}\! \left(x \right)<br />
  
    F_{485}\! \left(x \right) = F_{486}\! \left(x \right)<br />
  
    F_{486}\! \left(x \right) = F_{125}\! \left(x \right) F_{19}\! \left(x \right) F_{64}\! \left(x \right)<br />
  
    F_{487}\! \left(x \right) = F_{19}\! \left(x \right) F_{30}\! \left(x \right)<br />
  
    F_{488}\! \left(x \right) = F_{489}\! \left(x \right)+F_{491}\! \left(x \right)<br />
  
    F_{489}\! \left(x \right) = F_{490}\! \left(x \right)<br />
  
    F_{490}\! \left(x \right) = F_{21}\! \left(x \right) F_{289}\! \left(x \right)<br />
  
    F_{491}\! \left(x \right) = F_{492}\! \left(x \right)<br />
  
    F_{492}\! \left(x \right) = F_{21}\! \left(x \right) F_{493}\! \left(x \right)<br />
  
    F_{493}\! \left(x \right) = F_{494}\! \left(x \right)+F_{496}\! \left(x \right)+F_{500}\! \left(x \right)+F_{514}\! \left(x \right)<br />
  
    F_{494}\! \left(x \right) = F_{495}\! \left(x \right)<br />
  
    F_{495}\! \left(x \right) = F_{19}\! \left(x \right) F_{50}\! \left(x \right) F_{99}\! \left(x \right)<br />
  
    F_{496}\! \left(x \right) = F_{497}\! \left(x \right)<br />
  
    F_{497}\! \left(x \right) = F_{19}\! \left(x \right) F_{21}\! \left(x \right) F_{498}\! \left(x \right) F_{50}\! \left(x \right)<br />
  
    F_{498}\! \left(x \right) = \frac{F_{499}\! \left(x \right)}{F_{21}\! \left(x \right)}<br />
  
    F_{499}\! \left(x \right) = -F_{280}\! \left(x \right)-F_{99}\! \left(x \right)+F_{7}\! \left(x \right)<br />
  
    F_{500}\! \left(x \right) = F_{501}\! \left(x \right)<br />
  
    F_{501}\! \left(x \right) = F_{21}\! \left(x \right) F_{50}\! \left(x \right) F_{502}\! \left(x \right)<br />
  
    F_{502}\! \left(x \right) = F_{503}\! \left(x \right)+F_{509}\! \left(x \right)<br />
  
    F_{503}\! \left(x \right) = F_{504}\! \left(x \right)+F_{507}\! \left(x \right)<br />
  
    F_{504}\! \left(x \right) = F_{505}\! \left(x \right)+F_{506}\! \left(x \right)<br />
  
    F_{505}\! \left(x \right) = F_{19}\! \left(x \right) F_{284}\! \left(x \right)<br />
  
    F_{506}\! \left(x \right) = F_{285}\! \left(x \right) F_{93}\! \left(x \right)<br />
  
    F_{507}\! \left(x \right) = F_{508}\! \left(x \right)<br />
  
    F_{508}\! \left(x \right) = F_{0}\! \left(x \right) F_{124}\! \left(x \right) F_{19}\! \left(x \right)<br />
  
    F_{509}\! \left(x \right) = F_{510}\! \left(x \right)<br />
  
    F_{510}\! \left(x \right) = F_{0}\! \left(x \right) F_{511}\! \left(x \right)<br />
  
    F_{511}\! \left(x \right) = F_{512}\! \left(x \right)+F_{513}\! \left(x \right)<br />
  
    F_{512}\! \left(x \right) = F_{19}\! \left(x \right) F_{383}\! \left(x \right)<br />
  
    F_{513}\! \left(x \right) = F_{360}\! \left(x \right) F_{93}\! \left(x \right)<br />
  
    F_{514}\! \left(x \right) = F_{515}\! \left(x \right)<br />
  
    F_{515}\! \left(x \right) = F_{19}\! \left(x \right) F_{21}\! \left(x \right) F_{516}\! \left(x \right)<br />
  
    F_{516}\! \left(x \right) = F_{517}\! \left(x \right)+F_{519}\! \left(x \right)<br />
  
    F_{517}\! \left(x \right) = F_{518}\! \left(x \right)<br />
  
    F_{518}\! \left(x \right) = F_{125}\! \left(x \right) F_{292}\! \left(x \right)<br />
  
    F_{519}\! \left(x \right) = F_{520}\! \left(x \right)<br />
  
    F_{520}\! \left(x \right) = F_{194}\! \left(x \right) F_{292}\! \left(x \right)<br />
  
  System of equations in sympy syntax:<br />
  
    Eq(F_0(x), F_1(x) + F_2(x))<br />
  
    Eq(F_1(x), 1)<br />
  
    Eq(F_2(x), F_3(x))<br />
  
    Eq(F_3(x), F_21(x)*F_4(x))<br />
  
    Eq(F_4(x), F_0(x) + F_5(x))<br />
  
    Eq(F_5(x), F_6(x))<br />
  
    Eq(F_6(x), F_21(x)*F_7(x))<br />
  
    Eq(F_7(x), F_4(x) + F_467(x) + F_8(x))<br />
  
    Eq(F_8(x), F_21(x)*F_9(x))<br />
  
    Eq(F_9(x), F_10(x)/F_21(x))<br />
  
    Eq(F_10(x), F_11(x))<br />
  
    Eq(F_11(x), F_12(x) + F_5(x))<br />
  
    Eq(F_12(x), F_13(x))<br />
  
    Eq(F_13(x), F_14(x)*F_21(x))<br />
  
    Eq(F_14(x), F_15(x) + F_488(x))<br />
  
    Eq(F_15(x), F_16(x))<br />
  
    Eq(F_16(x), F_17(x)*F_21(x))<br />
  
    Eq(F_17(x), F_18(x) + F_26(x))<br />
  
    Eq(F_18(x), F_19(x)*F_9(x))<br />
  
    Eq(F_19(x), F_1(x) + F_20(x))<br />
  
    Eq(F_20(x), F_21(x)*F_22(x))<br />
  
    Eq(F_21(x), x)<br />
  
    Eq(F_22(x), F_1(x) + F_23(x) + F_25(x))<br />
  
    Eq(F_23(x), F_24(x))<br />
  
    Eq(F_24(x), F_19(x)*F_21(x)*F_22(x))<br />
  
    Eq(F_25(x), F_21(x)*F_22(x))<br />
  
    Eq(F_26(x), F_27(x) - F_487(x))<br />
  
    Eq(F_27(x), F_28(x)/F_21(x))<br />
  
    Eq(F_28(x), F_29(x))<br />
  
    Eq(F_29(x), F_30(x) - F_32(x) - F_482(x))<br />
  
    Eq(F_30(x), F_31(x)/F_21(x))<br />
  
    Eq(F_31(x), F_32(x) - F_33(x) - F_467(x))<br />
  
    Eq(F_32(x), F_280(x) + F_33(x) + F_34(x))<br />
  
    Eq(F_33(x), 0)<br />
  
    Eq(F_34(x), F_21(x)*F_35(x))<br />
  
    Eq(F_35(x), F_36(x))<br />
  
    Eq(F_36(x), F_21(x)*F_37(x))<br />
  
    Eq(F_37(x), F_278(x) + F_38(x))<br />
  
    Eq(F_38(x), F_276(x) + F_39(x))<br />
  
    Eq(F_39(x), F_40(x)*F_81(x))<br />
  
    Eq(F_40(x), F_275(x) + F_41(x))<br />
  
    Eq(F_41(x), F_42(x) + F_44(x))<br />
  
    Eq(F_42(x), F_43(x)/F_21(x))<br />
  
    Eq(F_43(x), F_5(x))<br />
  
    Eq(F_44(x), F_45(x))<br />
  
    Eq(F_45(x), F_21(x)*F_46(x))<br />
  
    Eq(F_46(x), F_47(x) + F_60(x))<br />
  
    Eq(F_47(x), F_42(x)*F_48(x))<br />
  
    Eq(F_48(x), F_22(x) + F_49(x))<br />
  
    Eq(F_49(x), F_50(x) + F_55(x))<br />
  
    Eq(F_50(x), F_21(x) + F_51(x))<br />
  
    Eq(F_51(x), F_33(x) + F_52(x) + F_53(x))<br />
  
    Eq(F_52(x), F_21(x)*F_49(x))<br />
  
    Eq(F_53(x), F_21(x)*F_54(x))<br />
  
    Eq(F_54(x), F_20(x))<br />
  
    Eq(F_55(x), F_56(x))<br />
  
    Eq(F_56(x), F_21(x)*F_57(x))<br />
  
    Eq(F_57(x), F_58(x) + F_59(x))<br />
  
    Eq(F_58(x), F_22(x)*F_50(x))<br />
  
    Eq(F_59(x), F_19(x)*F_49(x))<br />
  
    Eq(F_60(x), F_61(x))<br />
  
    Eq(F_61(x), F_49(x)*F_62(x))<br />
  
    Eq(F_62(x), F_63(x)/F_21(x))<br />
  
    Eq(F_63(x), F_64(x))<br />
  
    Eq(F_64(x), F_65(x) + F_66(x))<br />
  
    Eq(F_65(x), x**2 + 8*x + (F_65(x) + 1)**2*(x**2 + 4*x - 1) + (F_65(x) + 1)*(2*x**2 - 13*x + 3) + F_65(x) - 2)<br />
  
    Eq(F_66(x), F_67(x))<br />
  
    Eq(F_67(x), F_21(x)*F_68(x))<br />
  
    Eq(F_68(x), F_69(x) + F_73(x))<br />
  
    Eq(F_69(x), F_65(x)*F_70(x))<br />
  
    Eq(F_70(x), F_0(x) + F_71(x))<br />
  
    Eq(F_71(x), F_72(x))<br />
  
    Eq(F_72(x), F_21(x)*F_42(x))<br />
  
    Eq(F_73(x), F_0(x)*F_74(x))<br />
  
    Eq(F_74(x), F_65(x) + F_75(x))<br />
  
    Eq(F_75(x), F_21(x)*F_76(x))<br />
  
    Eq(F_76(x), F_77(x) + F_94(x))<br />
  
    Eq(F_77(x), F_78(x) - F_92(x))<br />
  
    Eq(F_78(x), F_74(x) + F_79(x) + F_86(x))<br />
  
    Eq(F_79(x), F_80(x))<br />
  
    Eq(F_80(x), F_19(x)*F_21(x)*F_65(x)*F_81(x))<br />
  
    Eq(F_81(x), F_1(x) + F_82(x) + F_84(x))<br />
  
    Eq(F_82(x), F_83(x))<br />
  
    Eq(F_83(x), F_19(x)*F_21(x)*F_81(x))<br />
  
    Eq(F_84(x), F_85(x))<br />
  
    Eq(F_85(x), F_19(x)*F_21(x)*F_81(x))<br />
  
    Eq(F_86(x), F_87(x))<br />
  
    Eq(F_87(x), F_21(x)*F_88(x))<br />
  
    Eq(F_88(x), F_89(x) + F_90(x))<br />
  
    Eq(F_89(x), F_19(x)*F_78(x))<br />
  
    Eq(F_90(x), F_91(x))<br />
  
    Eq(F_91(x), F_19(x)*F_50(x)*F_74(x))<br />
  
    Eq(F_92(x), F_65(x)*F_93(x))<br />
  
    Eq(F_93(x), -F_19(x) + F_81(x))<br />
  
    Eq(F_94(x), F_267(x) + F_74(x) + F_95(x))<br />
  
    Eq(F_95(x), F_96(x))<br />
  
    Eq(F_96(x), F_21(x)*F_97(x))<br />
  
    Eq(F_97(x), F_114(x) + F_98(x))<br />
  
    Eq(F_98(x), F_93(x)*F_99(x))<br />
  
    Eq(F_99(x), F_100(x) + F_19(x))<br />
  
    Eq(F_100(x), F_101(x))<br />
  
    Eq(F_101(x), F_102(x)*F_21(x))<br />
  
    Eq(F_102(x), F_103(x) + F_110(x))<br />
  
    Eq(F_103(x), F_104(x)*F_107(x))<br />
  
    Eq(F_104(x), F_105(x) + F_19(x))<br />
  
    Eq(F_105(x), F_106(x))<br />
  
    Eq(F_106(x), F_102(x)*F_21(x))<br />
  
    Eq(F_107(x), F_1(x) + F_108(x))<br />
  
    Eq(F_108(x), F_109(x))<br />
  
    Eq(F_109(x), F_107(x)*F_21(x))<br />
  
    Eq(F_110(x), F_111(x))<br />
  
    Eq(F_111(x), F_104(x)*F_112(x)*F_21(x)*F_22(x))<br />
  
    Eq(F_112(x), F_113(x) + F_93(x))<br />
  
    Eq(F_113(x), F_107(x)*F_19(x))<br />
  
    Eq(F_114(x), F_115(x) - F_266(x))<br />
  
    Eq(F_115(x), F_116(x) + F_117(x))<br />
  
    Eq(F_116(x), F_100(x) + F_92(x))<br />
  
    Eq(F_117(x), F_118(x) - F_233(x))<br />
  
    Eq(F_118(x), F_119(x) + F_186(x) + F_202(x) + F_231(x))<br />
  
    Eq(F_119(x), F_120(x) + F_182(x))<br />
  
    Eq(F_120(x), F_1(x) + F_121(x) + F_178(x) + F_180(x))<br />
  
    Eq(F_121(x), F_122(x)*F_21(x))<br />
  
    Eq(F_122(x), F_123(x)/F_21(x))<br />
  
    Eq(F_123(x), F_124(x))<br />
  
    Eq(F_124(x), F_125(x) + F_134(x))<br />
  
    Eq(F_125(x), F_126(x) + F_50(x))<br />
  
    Eq(F_126(x), F_127(x) + F_129(x) + F_33(x))<br />
  
    Eq(F_127(x), F_128(x))<br />
  
    Eq(F_128(x), F_125(x)*F_19(x)*F_21(x))<br />
  
    Eq(F_129(x), F_130(x))<br />
  
    Eq(F_130(x), F_131(x)*F_21(x))<br />
  
    Eq(F_131(x), F_132(x) + F_133(x))<br />
  
    Eq(F_132(x), F_50(x)*F_93(x))<br />
  
    Eq(F_133(x), F_126(x)*F_19(x))<br />
  
    Eq(F_134(x), F_135(x))<br />
  
    Eq(F_135(x), F_136(x)*F_21(x))<br />
  
    Eq(F_136(x), F_137(x)/F_21(x))<br />
  
    Eq(F_137(x), F_138(x))<br />
  
    Eq(F_138(x), -F_125(x) + F_139(x) - F_169(x))<br />
  
    Eq(F_139(x), F_140(x))<br />
  
    Eq(F_140(x), F_141(x)*F_21(x))<br />
  
    Eq(F_141(x), F_142(x)/F_21(x))<br />
  
    Eq(F_142(x), F_143(x))<br />
  
    Eq(F_143(x), F_144(x)/F_21(x))<br />
  
    Eq(F_144(x), F_145(x))<br />
  
    Eq(F_145(x), F_146(x)*F_21(x))<br />
  
    Eq(F_146(x), F_147(x) + F_160(x) + F_167(x) + F_33(x))<br />
  
    Eq(F_147(x), F_148(x)*F_21(x))<br />
  
    Eq(F_148(x), F_146(x) + F_149(x))<br />
  
    Eq(F_149(x), F_150(x))<br />
  
    Eq(F_150(x), F_151(x)*F_21(x))<br />
  
    Eq(F_151(x), F_152(x) + F_158(x))<br />
  
    Eq(F_152(x), F_153(x) + F_157(x))<br />
  
    Eq(F_153(x), F_154(x))<br />
  
    Eq(F_154(x), F_155(x)*F_19(x)*F_50(x))<br />
  
    Eq(F_155(x), F_156(x)/F_21(x))<br />
  
    Eq(F_156(x), F_100(x))<br />
  
    Eq(F_157(x), F_148(x)*F_19(x))<br />
  
    Eq(F_158(x), F_159(x))<br />
  
    Eq(F_159(x), F_146(x)*F_19(x)*F_50(x))<br />
  
    Eq(F_160(x), F_161(x))<br />
  
    Eq(F_161(x), F_162(x)*F_21(x))<br />
  
    Eq(F_162(x), F_146(x) + F_163(x))<br />
  
    Eq(F_163(x), F_164(x))<br />
  
    Eq(F_164(x), F_165(x)*F_19(x)*F_65(x))<br />
  
    Eq(F_165(x), F_166(x)/(F_19(x)*F_21(x)))<br />
  
    Eq(F_166(x), F_126(x))<br />
  
    Eq(F_167(x), F_168(x))<br />
  
    Eq(F_168(x), F_155(x)*F_21(x))<br />
  
    Eq(F_169(x), F_170(x))<br />
  
    Eq(F_170(x), F_139(x) - F_171(x))<br />
  
    Eq(F_171(x), F_172(x) + F_173(x))<br />
  
    Eq(F_172(x), F_104(x)*F_21(x))<br />
  
    Eq(F_173(x), F_174(x))<br />
  
    Eq(F_174(x), F_104(x)*F_175(x)*F_21(x))<br />
  
    Eq(F_175(x), F_176(x) + F_177(x))<br />
  
    Eq(F_176(x), F_50(x)*F_81(x))<br />
  
    Eq(F_177(x), F_125(x)*F_19(x))<br />
  
    Eq(F_178(x), F_179(x))<br />
  
    Eq(F_179(x), F_21(x)*F_81(x)*F_99(x))<br />
  
    Eq(F_180(x), F_181(x))<br />
  
    Eq(F_181(x), F_120(x)*F_19(x)*F_21(x))<br />
  
    Eq(F_182(x), F_183(x))<br />
  
    Eq(F_183(x), F_184(x)*F_21(x)*F_81(x))<br />
  
    Eq(F_184(x), F_116(x) + F_185(x))<br />
  
    Eq(F_185(x), F_19(x)*F_99(x))<br />
  
    Eq(F_186(x), F_187(x)*F_21(x))<br />
  
    Eq(F_187(x), F_188(x)/F_21(x))<br />
  
    Eq(F_188(x), F_189(x))<br />
  
    Eq(F_189(x), F_190(x) + F_192(x))<br />
  
    Eq(F_190(x), F_191(x))<br />
  
    Eq(F_191(x), F_122(x)*F_21(x))<br />
  
    Eq(F_192(x), F_193(x))<br />
  
    Eq(F_193(x), F_19(x)*F_194(x)*F_65(x))<br />
  
    Eq(F_194(x), F_195(x) + F_200(x) + F_21(x))<br />
  
    Eq(F_195(x), F_196(x))<br />
  
    Eq(F_196(x), F_197(x)*F_21(x))<br />
  
    Eq(F_197(x), F_198(x) + F_199(x))<br />
  
    Eq(F_198(x), F_19(x)*F_194(x))<br />
  
    Eq(F_199(x), F_50(x)*F_81(x))<br />
  
    Eq(F_200(x), F_201(x))<br />
  
    Eq(F_201(x), F_19(x)*F_194(x)*F_21(x))<br />
  
    Eq(F_202(x), F_203(x))<br />
  
    Eq(F_203(x), F_204(x)*F_21(x)*F_81(x))<br />
  
    Eq(F_204(x), F_205(x)/F_21(x))<br />
  
    Eq(F_205(x), F_206(x))<br />
  
    Eq(F_206(x), F_207(x) - F_227(x))<br />
  
    Eq(F_207(x), F_19(x) + F_208(x) + F_213(x))<br />
  
    Eq(F_208(x), F_209(x))<br />
  
    Eq(F_209(x), F_21(x)*F_210(x))<br />
  
    Eq(F_210(x), F_102(x) + F_211(x))<br />
  
    Eq(F_211(x), F_212(x))<br />
  
    Eq(F_212(x), F_102(x)*F_19(x)*F_21(x))<br />
  
    Eq(F_213(x), F_214(x))<br />
  
    Eq(F_214(x), F_19(x)*F_21(x)*F_215(x))<br />
  
    Eq(F_215(x), F_216(x) + F_218(x))<br />
  
    Eq(F_216(x), F_217(x))<br />
  
    Eq(F_217(x), F_19(x)**2)<br />
  
    Eq(F_218(x), F_219(x))<br />
  
    Eq(F_219(x), F_220(x) + F_221(x))<br />
  
    Eq(F_220(x), F_106(x))<br />
  
    Eq(F_221(x), F_222(x))<br />
  
    Eq(F_222(x), F_21(x)*F_223(x))<br />
  
    Eq(F_223(x), F_224(x) + F_226(x))<br />
  
    Eq(F_224(x), F_225(x))<br />
  
    Eq(F_225(x), F_104(x)*F_19(x)*F_50(x))<br />
  
    Eq(F_226(x), F_19(x)*F_219(x))<br />
  
    Eq(F_227(x), F_1(x) + F_228(x) + F_230(x))<br />
  
    Eq(F_228(x), F_21(x)*F_229(x))<br />
  
    Eq(F_229(x), F_104(x) + F_220(x))<br />
  
    Eq(F_230(x), F_21(x)*F_215(x))<br />
  
    Eq(F_231(x), F_232(x))<br />
  
    Eq(F_232(x), F_118(x)*F_19(x)*F_21(x))<br />
  
    Eq(F_233(x), F_118(x) - F_234(x))<br />
  
    Eq(F_234(x), F_235(x))<br />
  
    Eq(F_235(x), F_21(x)*F_236(x))<br />
  
    Eq(F_236(x), F_237(x)/F_21(x))<br />
  
    Eq(F_237(x), F_238(x))<br />
  
    Eq(F_238(x), -F_204(x) + F_239(x) - F_264(x))<br />
  
    Eq(F_239(x), F_240(x))<br />
  
    Eq(F_240(x), F_241(x) - F_261(x))<br />
  
    Eq(F_241(x), F_242(x)/F_21(x))<br />
  
    Eq(F_242(x), F_243(x))<br />
  
    Eq(F_243(x), F_21(x)*F_244(x))<br />
  
    Eq(F_244(x), F_245(x) + F_246(x))<br />
  
    Eq(F_245(x), F_118(x))<br />
  
    Eq(F_246(x), F_247(x))<br />
  
    Eq(F_247(x), F_248(x)/F_21(x))<br />
  
    Eq(F_248(x), F_249(x))<br />
  
    Eq(F_249(x), F_189(x) - F_250(x))<br />
  
    Eq(F_250(x), F_251(x) + F_259(x))<br />
  
    Eq(F_251(x), F_252(x) + F_50(x))<br />
  
    Eq(F_252(x), F_253(x))<br />
  
    Eq(F_253(x), F_21(x)*F_254(x))<br />
  
    Eq(F_254(x), -F_210(x) + F_255(x))<br />
  
    Eq(F_255(x), F_256(x)/F_21(x))<br />
  
    Eq(F_256(x), F_257(x))<br />
  
    Eq(F_257(x), F_229(x) - F_258(x))<br />
  
    Eq(F_258(x), F_19(x) + F_50(x))<br />
  
    Eq(F_259(x), F_260(x))<br />
  
    Eq(F_260(x), F_19(x)*F_50(x)*F_65(x))<br />
  
    Eq(F_261(x), F_262(x))<br />
  
    Eq(F_262(x), F_263(x)/F_21(x))<br />
  
    Eq(F_263(x), F_249(x))<br />
  
    Eq(F_264(x), F_265(x))<br />
  
    Eq(F_265(x), F_19(x)*F_21(x)*F_239(x))<br />
  
    Eq(F_266(x), F_207(x)*F_93(x))<br />
  
    Eq(F_267(x), F_268(x))<br />
  
    Eq(F_268(x), F_21(x)*F_269(x))<br />
  
    Eq(F_269(x), F_163(x) + F_270(x))<br />
  
    Eq(F_270(x), F_271(x)/F_21(x))<br />
  
    Eq(F_271(x), F_272(x))<br />
  
    Eq(F_272(x), F_273(x))<br />
  
    Eq(F_273(x), -F_274(x) - F_33(x) + F_74(x))<br />
  
    Eq(F_274(x), F_120(x)*F_21(x))<br />
  
    Eq(F_275(x), F_0(x)*F_100(x))<br />
  
    Eq(F_276(x), F_277(x))<br />
  
    Eq(F_277(x), F_19(x)*F_194(x)*F_62(x))<br />
  
    Eq(F_278(x), F_279(x))<br />
  
    Eq(F_279(x), F_19(x)*F_194(x)*F_42(x))<br />
  
    Eq(F_280(x), F_281(x))<br />
  
    Eq(F_281(x), F_21(x)*F_282(x))<br />
  
    Eq(F_282(x), F_283(x) + F_465(x))<br />
  
    Eq(F_283(x), F_284(x) + F_381(x))<br />
  
    Eq(F_284(x), F_285(x) + F_307(x))<br />
  
    Eq(F_285(x), F_0(x) + F_286(x) + F_305(x))<br />
  
    Eq(F_286(x), F_287(x))<br />
  
    Eq(F_287(x), F_21(x)*F_288(x))<br />
  
    Eq(F_288(x), F_289(x) - F_302(x))<br />
  
    Eq(F_289(x), F_290(x)/F_21(x))<br />
  
    Eq(F_290(x), F_291(x))<br />
  
    Eq(F_291(x), F_292(x) - F_294(x) - F_296(x))<br />
  
    Eq(F_292(x), F_293(x)/F_21(x))<br />
  
    Eq(F_293(x), F_64(x))<br />
  
    Eq(F_294(x), F_0(x)*F_295(x))<br />
  
    Eq(F_295(x), F_1(x) + F_21(x))<br />
  
    Eq(F_296(x), F_297(x))<br />
  
    Eq(F_297(x), F_21(x)*F_298(x))<br />
  
    Eq(F_298(x), F_299(x) + F_300(x))<br />
  
    Eq(F_299(x), F_19(x)*F_292(x))<br />
  
    Eq(F_300(x), F_301(x))<br />
  
    Eq(F_301(x), F_0(x)*F_50(x)*F_99(x))<br />
  
    Eq(F_302(x), F_303(x))<br />
  
    Eq(F_303(x), F_0(x)*F_304(x))<br />
  
    Eq(F_304(x), F_123(x))<br />
  
    Eq(F_305(x), F_306(x))<br />
  
    Eq(F_306(x), F_19(x)*F_21(x)*F_285(x))<br />
  
    Eq(F_307(x), F_308(x))<br />
  
    Eq(F_308(x), F_21(x)*F_309(x))<br />
  
    Eq(F_309(x), F_284(x) + F_310(x) + F_317(x) + F_379(x))<br />
  
    Eq(F_310(x), F_21(x)*F_311(x))<br />
  
    Eq(F_311(x), F_312(x)/F_21(x))<br />
  
    Eq(F_312(x), F_313(x))<br />
  
    Eq(F_313(x), F_314(x) + F_315(x))<br />
  
    Eq(F_314(x), F_0(x)*F_190(x))<br />
  
    Eq(F_315(x), F_316(x))<br />
  
    Eq(F_316(x), F_19(x)*F_194(x)*F_64(x))<br />
  
    Eq(F_317(x), F_318(x))<br />
  
    Eq(F_318(x), F_21(x)*F_319(x)*F_81(x))<br />
  
    Eq(F_319(x), F_320(x))<br />
  
    Eq(F_320(x), F_321(x) - F_355(x))<br />
  
    Eq(F_321(x), F_322(x)/F_21(x))<br />
  
    Eq(F_322(x), F_323(x))<br />
  
    Eq(F_323(x), F_324(x) - F_325(x))<br />
  
    Eq(F_324(x), F_325(x) + F_326(x))<br />
  
    Eq(F_325(x), F_0(x) + F_64(x))<br />
  
    Eq(F_326(x), F_327(x) - F_351(x))<br />
  
    Eq(F_327(x), F_328(x))<br />
  
    Eq(F_328(x), F_21(x)*F_329(x))<br />
  
    Eq(F_329(x), F_330(x) + F_347(x))<br />
  
    Eq(F_330(x), F_331(x) + F_335(x))<br />
  
    Eq(F_331(x), F_295(x)*F_332(x))<br />
  
    Eq(F_332(x), F_333(x) + F_334(x))<br />
  
    Eq(F_333(x), F_0(x)*F_104(x))<br />
  
    Eq(F_334(x), F_22(x)*F_64(x))<br />
  
    Eq(F_335(x), F_336(x))<br />
  
    Eq(F_336(x), F_0(x)*F_337(x))<br />
  
    Eq(F_337(x), F_338(x) - F_346(x))<br />
  
    Eq(F_338(x), F_339(x) + F_345(x))<br />
  
    Eq(F_339(x), F_340(x)*F_341(x))<br />
  
    Eq(F_340(x), x**2 + 8*x + (x**2 + 4*x - 1)*F_340(x)**2 + (2*x**2 - 13*x + 4)*F_340(x) - 2)<br />
  
    Eq(F_341(x), F_342(x))<br />
  
    Eq(F_342(x), F_21(x)*F_343(x))<br />
  
    Eq(F_343(x), F_344(x)/F_21(x))<br />
  
    Eq(F_344(x), F_74(x))<br />
  
    Eq(F_345(x), F_49(x)*F_65(x))<br />
  
    Eq(F_346(x), F_341(x)*F_65(x))<br />
  
    Eq(F_347(x), F_348(x))<br />
  
    Eq(F_348(x), F_349(x) + F_350(x))<br />
  
    Eq(F_349(x), F_0(x)*F_220(x))<br />
  
    Eq(F_350(x), F_49(x)*F_64(x))<br />
  
    Eq(F_351(x), F_352(x))<br />
  
    Eq(F_352(x), F_21(x)*F_353(x))<br />
  
    Eq(F_353(x), F_354(x))<br />
  
    Eq(F_354(x), F_21(x)*F_332(x))<br />
  
    Eq(F_355(x), F_356(x))<br />
  
    Eq(F_356(x), F_357(x) - F_374(x))<br />
  
    Eq(F_357(x), F_358(x) + F_364(x))<br />
  
    Eq(F_358(x), F_359(x) + F_362(x))<br />
  
    Eq(F_359(x), F_0(x)*F_360(x))<br />
  
    Eq(F_360(x), F_361(x))<br />
  
    Eq(F_361(x), F_120(x)*F_21(x))<br />
  
    Eq(F_362(x), F_363(x))<br />
  
    Eq(F_363(x), F_19(x)*F_50(x)*F_64(x))<br />
  
    Eq(F_364(x), F_365(x))<br />
  
    Eq(F_365(x), F_21(x)*F_366(x))<br />
  
    Eq(F_366(x), F_367(x) + F_373(x))<br />
  
    Eq(F_367(x), F_368(x))<br />
  
    Eq(F_368(x), F_19(x)*F_369(x)*F_50(x))<br />
  
    Eq(F_369(x), F_370(x) + F_371(x))<br />
  
    Eq(F_370(x), F_0(x)*F_99(x))<br />
  
    Eq(F_371(x), F_372(x))<br />
  
    Eq(F_372(x), F_19(x)**2*F_64(x))<br />
  
    Eq(F_373(x), F_19(x)*F_357(x))<br />
  
    Eq(F_374(x), F_375(x))<br />
  
    Eq(F_375(x), F_19(x)*F_376(x)*F_64(x))<br />
  
    Eq(F_376(x), F_377(x)/F_21(x))<br />
  
    Eq(F_377(x), -F_33(x) - F_378(x) + F_51(x))<br />
  
    Eq(F_378(x), F_21(x)*F_54(x))<br />
  
    Eq(F_379(x), F_380(x))<br />
  
    Eq(F_380(x), F_19(x)*F_21(x)*F_309(x))<br />
  
    Eq(F_381(x), F_382(x))<br />
  
    Eq(F_382(x), F_0(x)*F_383(x))<br />
  
    Eq(F_383(x), F_384(x))<br />
  
    Eq(F_384(x), F_385(x) - F_464(x))<br />
  
    Eq(F_385(x), F_386(x)/F_21(x))<br />
  
    Eq(F_386(x), F_387(x))<br />
  
    Eq(F_387(x), F_21(x)*F_388(x))<br />
  
    Eq(F_388(x), F_389(x) + F_463(x))<br />
  
    Eq(F_389(x), F_390(x) + F_391(x))<br />
  
    Eq(F_390(x), F_125(x) + F_81(x))<br />
  
    Eq(F_391(x), F_392(x))<br />
  
    Eq(F_392(x), F_21(x)*F_393(x))<br />
  
    Eq(F_393(x), F_394(x) + F_461(x))<br />
  
    Eq(F_394(x), F_395(x)/F_21(x))<br />
  
    Eq(F_395(x), F_396(x))<br />
  
    Eq(F_396(x), -F_390(x) + F_397(x))<br />
  
    Eq(F_397(x), F_398(x) + F_448(x))<br />
  
    Eq(F_398(x), F_399(x) - F_445(x))<br />
  
    Eq(F_399(x), F_400(x) + F_401(x))<br />
  
    Eq(F_400(x), F_194(x) + F_81(x))<br />
  
    Eq(F_401(x), F_402(x))<br />
  
    Eq(F_402(x), F_21(x)*F_403(x))<br />
  
    Eq(F_403(x), F_404(x) + F_435(x))<br />
  
    Eq(F_404(x), F_405(x) + F_433(x))<br />
  
    Eq(F_405(x), F_406(x) - F_431(x))<br />
  
    Eq(F_406(x), F_407(x) - F_430(x))<br />
  
    Eq(F_407(x), F_408(x)/F_21(x))<br />
  
    Eq(F_408(x), F_409(x))<br />
  
    Eq(F_409(x), -F_390(x) + F_410(x) - F_411(x))<br />
  
    Eq(F_410(x), F_139(x) + F_343(x))<br />
  
    Eq(F_411(x), F_412(x))<br />
  
    Eq(F_412(x), F_21(x)*F_413(x))<br />
  
    Eq(F_413(x), F_414(x) + F_427(x))<br />
  
    Eq(F_414(x), F_415(x) + F_425(x))<br />
  
    Eq(F_415(x), F_416(x)/F_21(x))<br />
  
    Eq(F_416(x), F_417(x))<br />
  
    Eq(F_417(x), F_418(x) - F_424(x))<br />
  
    Eq(F_418(x), F_419(x) + F_422(x))<br />
  
    Eq(F_419(x), F_420(x)/F_21(x))<br />
  
    Eq(F_420(x), F_421(x))<br />
  
    Eq(F_421(x), F_272(x) + F_74(x))<br />
  
    Eq(F_422(x), F_423(x))<br />
  
    Eq(F_423(x), F_141(x)*F_21(x))<br />
  
    Eq(F_424(x), F_343(x) + F_422(x))<br />
  
    Eq(F_425(x), F_426(x))<br />
  
    Eq(F_426(x), F_102(x)*F_21(x)*F_81(x))<br />
  
    Eq(F_427(x), -F_425(x) + F_428(x))<br />
  
    Eq(F_428(x), F_429(x)/F_21(x))<br />
  
    Eq(F_429(x), F_169(x))<br />
  
    Eq(F_430(x), F_136(x))<br />
  
    Eq(F_431(x), F_432(x))<br />
  
    Eq(F_432(x), F_19(x)*F_21(x)*F_406(x))<br />
  
    Eq(F_433(x), F_434(x))<br />
  
    Eq(F_434(x), F_102(x)*F_21(x)*F_81(x))<br />
  
    Eq(F_435(x), F_436(x) - F_447(x))<br />
  
    Eq(F_436(x), F_437(x)/F_21(x))<br />
  
    Eq(F_437(x), F_438(x))<br />
  
    Eq(F_438(x), -F_400(x) + F_424(x) - F_439(x))<br />
  
    Eq(F_439(x), F_440(x))<br />
  
    Eq(F_440(x), F_21(x)*F_441(x))<br />
  
    Eq(F_441(x), F_415(x) + F_442(x))<br />
  
    Eq(F_442(x), F_443(x)/F_21(x))<br />
  
    Eq(F_443(x), F_444(x))<br />
  
    Eq(F_444(x), F_422(x) - F_445(x))<br />
  
    Eq(F_445(x), F_446(x))<br />
  
    Eq(F_446(x), F_21(x)*F_405(x))<br />
  
    Eq(F_447(x), F_406(x) + F_433(x))<br />
  
    Eq(F_448(x), F_172(x) + F_449(x))<br />
  
    Eq(F_449(x), F_450(x))<br />
  
    Eq(F_450(x), F_21(x)*F_451(x))<br />
  
    Eq(F_451(x), F_452(x) + F_459(x))<br />
  
    Eq(F_452(x), F_453(x)*F_50(x))<br />
  
    Eq(F_453(x), F_454(x)/F_258(x))<br />
  
    Eq(F_454(x), F_455(x) - F_459(x))<br />
  
    Eq(F_455(x), F_456(x)/F_21(x))<br />
  
    Eq(F_456(x), F_457(x))<br />
  
    Eq(F_457(x), F_397(x) - F_458(x))<br />
  
    Eq(F_458(x), F_104(x)*F_295(x))<br />
  
    Eq(F_459(x), F_460(x))<br />
  
    Eq(F_460(x), F_104(x)*F_125(x)*F_19(x))<br />
  
    Eq(F_461(x), F_462(x))<br />
  
    Eq(F_462(x), F_21(x)*F_258(x)*F_406(x))<br />
  
    Eq(F_463(x), F_124(x))<br />
  
    Eq(F_464(x), F_120(x) + F_190(x))<br />
  
    Eq(F_465(x), F_466(x))<br />
  
    Eq(F_466(x), F_0(x)*F_124(x))<br />
  
    Eq(F_467(x), F_468(x))<br />
  
    Eq(F_468(x), F_21(x)*F_469(x))<br />
  
    Eq(F_469(x), F_470(x) + F_477(x))<br />
  
    Eq(F_470(x), F_292(x) + F_471(x))<br />
  
    Eq(F_471(x), F_472(x))<br />
  
    Eq(F_472(x), F_21(x)*F_473(x))<br />
  
    Eq(F_473(x), F_474(x) + F_475(x))<br />
  
    Eq(F_474(x), F_19(x)*F_40(x))<br />
  
    Eq(F_475(x), F_476(x))<br />
  
    Eq(F_476(x), F_19(x)*F_50(x)*F_62(x))<br />
  
    Eq(F_477(x), F_478(x))<br />
  
    Eq(F_478(x), F_479(x) + F_480(x))<br />
  
    Eq(F_479(x), F_0(x)*F_251(x))<br />
  
    Eq(F_480(x), F_481(x))<br />
  
    Eq(F_481(x), F_19(x)*F_5(x)*F_50(x))<br />
  
    Eq(F_482(x), F_483(x))<br />
  
    Eq(F_483(x), F_21(x)*F_484(x))<br />
  
    Eq(F_484(x), F_303(x) + F_485(x))<br />
  
    Eq(F_485(x), F_486(x))<br />
  
    Eq(F_486(x), F_125(x)*F_19(x)*F_64(x))<br />
  
    Eq(F_487(x), F_19(x)*F_30(x))<br />
  
    Eq(F_488(x), F_489(x) + F_491(x))<br />
  
    Eq(F_489(x), F_490(x))<br />
  
    Eq(F_490(x), F_21(x)*F_289(x))<br />
  
    Eq(F_491(x), F_492(x))<br />
  
    Eq(F_492(x), F_21(x)*F_493(x))<br />
  
    Eq(F_493(x), F_494(x) + F_496(x) + F_500(x) + F_514(x))<br />
  
    Eq(F_494(x), F_495(x))<br />
  
    Eq(F_495(x), F_19(x)*F_50(x)*F_99(x))<br />
  
    Eq(F_496(x), F_497(x))<br />
  
    Eq(F_497(x), F_19(x)*F_21(x)*F_498(x)*F_50(x))<br />
  
    Eq(F_498(x), F_499(x)/F_21(x))<br />
  
    Eq(F_499(x), -F_280(x) + F_7(x) - F_99(x))<br />
  
    Eq(F_500(x), F_501(x))<br />
  
    Eq(F_501(x), F_21(x)*F_50(x)*F_502(x))<br />
  
    Eq(F_502(x), F_503(x) + F_509(x))<br />
  
    Eq(F_503(x), F_504(x) + F_507(x))<br />
  
    Eq(F_504(x), F_505(x) + F_506(x))<br />
  
    Eq(F_505(x), F_19(x)*F_284(x))<br />
  
    Eq(F_506(x), F_285(x)*F_93(x))<br />
  
    Eq(F_507(x), F_508(x))<br />
  
    Eq(F_508(x), F_0(x)*F_124(x)*F_19(x))<br />
  
    Eq(F_509(x), F_510(x))<br />
  
    Eq(F_510(x), F_0(x)*F_511(x))<br />
  
    Eq(F_511(x), F_512(x) + F_513(x))<br />
  
    Eq(F_512(x), F_19(x)*F_383(x))<br />
  
    Eq(F_513(x), F_360(x)*F_93(x))<br />
  
    Eq(F_514(x), F_515(x))<br />
  
    Eq(F_515(x), F_19(x)*F_21(x)*F_516(x))<br />
  
    Eq(F_516(x), F_517(x) + F_519(x))<br />
  
    Eq(F_517(x), F_518(x))<br />
  
    Eq(F_518(x), F_125(x)*F_292(x))<br />
  
    Eq(F_519(x), F_520(x))<br />
  
    Eq(F_520(x), F_194(x)*F_292(x))<br />
  
  Pack JSON:<br />{&#34;name&#34;: &#34;point_and_row_and_col_placements_req_corrob&#34;, &#34;initial_strats&#34;: [{&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorFactory&#34;, &#34;interleaving&#34;: null, &#34;unions&#34;: false, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;tracked&#34;: false}, {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;PointCorroborationFactory&#34;, &#34;ignore_parent&#34;: true}, {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementCorroborationFactory&#34;, &#34;ignore_parent&#34;: true}], &#34;inferral_strats&#34;: [{&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}, {&#34;class_module&#34;: &#34;tilings.strategies.obstruction_inferral&#34;, &#34;strategy_class&#34;: &#34;ObstructionTransitivityFactory&#34;}], &#34;ver_strats&#34;: [{&#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;strategy_class&#34;: &#34;BasicVerificationStrategy&#34;}, {&#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;strategy_class&#34;: &#34;InsertionEncodingVerificationStrategy&#34;, &#34;ignore_parent&#34;: false}, {&#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;strategy_class&#34;: &#34;OneByOneVerificationStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;basis&#34;: [], &#34;symmetry&#34;: false}, {&#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;strategy_class&#34;: &#34;LocallyFactorableVerificationStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;basis&#34;: [], &#34;symmetry&#34;: false}], &#34;expansion_strats&#34;: [[{&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;CellInsertionFactory&#34;, &#34;ignore_parent&#34;: false, &#34;maxreqlen&#34;: 1, &#34;extra_basis&#34;: [], &#34;one_cell_only&#34;: false}, {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;PatternPlacementFactory&#34;, &#34;partial&#34;: false, &#34;ignore_parent&#34;: false, &#34;dirs&#34;: [0, 1, 2, 3], &#34;point_only&#34;: false}, {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RowAndColumnPlacementFactory&#34;, &#34;partial&#34;: false, &#34;ignore_parent&#34;: false, &#34;dirs&#34;: [0, 1, 2, 3], &#34;place_row&#34;: true, &#34;place_col&#34;: true}]], &#34;symmetries&#34;: [], &#34;iterative&#34;: false}<br />
  Specification JSON:<br />{&#34;root&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1], [2, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 1], [2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 1], [2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1, 3], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1, 3], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [2, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 2], [2, 1], [2, 1], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[2, 2], [2, 1], [2, 1], [2, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 2], [2, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 2], [2, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [2, 1], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [2, 2], [2, 1], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 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[0, 2], [1, 2], [1, 2]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 1], [0, 3], [2, 0], [2, 1], [2, 3]], [[1, 2]]]}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: 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[0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2], [3, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [3, 0], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], &#34;indices&#34;: [0, 0], &#34;direction&#34;: 3, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: true}}, &#34;idx&#34;: 1}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [2, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [3, 0], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [3, 0], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 0], [2, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 0], [3, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[2, 0], [2, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 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[0, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, 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[[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 2], [2, 0], [2, 2], [3, 0], [3, 2]], [[1, 1]]]}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: 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[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, 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{&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 3], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], &#34;indices&#34;: [0, 0], &#34;direction&#34;: 1, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: true}}, &#34;idx&#34;: 1}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 2], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1], [0, 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&#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 2], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1], [1, 0]]}, 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1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], &#34;indices&#34;: [0, 0], 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[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], 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&#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]}}, &#34;idx&#34;: 1}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, 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3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [3, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 3], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], &#34;indices&#34;: [0, 0], &#34;direction&#34;: 1, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: true}}, &#34;idx&#34;: 1}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 3], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 3], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [1, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 2], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [1, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 1], [0, 3], [1, 0], [1, 1], [3, 0]], [[2, 2]]]}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: 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&#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 5], [2, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 6], [0, 6]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 6], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 6], [2, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 6], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 5], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 5], [2, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 5], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], 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{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 5], [0, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 5], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 5], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 5], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 5], 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1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 5], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 5], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0], [1, 5]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0], [3, 4]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0], [1, 5]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0], [3, 4]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 5]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [3, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 5], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 5], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 5], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 5], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 5], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 4], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 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1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [1, 4], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 4], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0], [1, 4]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0], [1, 4]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 4]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 4], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 1], [1, 0], [1, 1], [1, 5], [3, 0], [3, 2], [3, 4]], [[2, 3]]]}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], 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[{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}]}}, &#34;idx&#34;: 1}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 3], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 3], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 1], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 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{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 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{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [2, 4], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 3], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 3], [1, 2], [2, 0], [2, 2], [2, 4], [3, 2], [4, 0]], [[5, 1]]]}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [4, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 5], [2, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 5], [2, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 3], [2, 5], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 3], [4, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [1, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [2, 4], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 4], [1, 3], [2, 1], [2, 3], [2, 5], [4, 0], [4, 3]], [[3, 2]]]}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 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[0, 2], [0, 2], [1, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3], [1, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1, 3], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], &#34;indices&#34;: [0, 0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: true}}, &#34;idx&#34;: 1}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 3], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}, 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[[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2], [1, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 2], [0, 3], [1, 0], [1, 2], [1, 3]], [[2, 1]]]}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, 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[[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]}}, &#34;idx&#34;: 1}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, 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{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 5], [2, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 5], [2, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [2, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [4, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [2, 3], [4, 3]]}, {&#34;patt&#34;: 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[1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [2, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 4], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 4], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], 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2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 3], [0, 4], [1, 1], [2, 1], [2, 3], [2, 5], [4, 0], [4, 3]], [[3, 2]]]}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, 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{&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, 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{&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [0, 3], [1, 0], [2, 2], [3, 0]], [[4, 1]]]}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, 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0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 1], [1, 0], [1, 1], [3, 0], [3, 2]], [[2, 3]]]}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: 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{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 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[0, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], 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{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 1], [2, 0], [2, 2], [3, 0], [3, 4]], [[1, 3]]]}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 6], [1, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 5], [3, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 6], [1, 6]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 6], [3, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 5], [3, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 4], [1, 6]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 5], [1, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 5], [1, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 5], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [1, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 3], [0, 4], [1, 1], [1, 6], [3, 0], [3, 5]], [[2, 2]]]}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 5], [1, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 5], [1, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 5], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], 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{&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, 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{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: 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[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 1, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: true}}, &#34;idx&#34;: 1}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, 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[0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [4, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 3], [1, 0], [2, 0], [4, 0], [5, 0]], [[3, 2]]]}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 4], [0, 1], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 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[[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 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{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], 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&#34;pos&#34;: [[1, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 4], [2, 4], [4, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 2], [4, 4], [4, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 5], [0, 4], [0, 5]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 5], [0, 4], [2, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 5], [0, 4], [4, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 5], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 5], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 5], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[5, 3], [5, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 5], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 5], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[5, 3], [5, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 4], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [2, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 5], [2, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 2], [4, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 5], [0, 4], [0, 5]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 5], [0, 4], [2, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 5], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 5], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 5], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}], &#34;indices&#34;: [0, 0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: true}}, &#34;idx&#34;: 2}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [4, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [4, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [1, 0]]}, 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4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 4], [0, 5], [1, 2], [2, 1], [3, 4], [4, 2], [5, 1], [6, 0], [6, 2]], [[7, 3]]]}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 0, 1], 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1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], 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&#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 2]], [[1, 1]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], 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&#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 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[{&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1, 3], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 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[0, 1], [0, 4], [0, 4], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 4], [0, 1], [0, 1], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 1], [0, 4], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 1], [0, 4], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], 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[2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1, 3], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], &#34;indices&#34;: [0, 0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: true}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 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2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2], [1, 2]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 2], [0, 3], [1, 0], [1, 2], [1, 3]], [[2, 1]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 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[0, 4], [0, 4], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 1], [0, 4], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 1], [0, 1], [0, 1], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 1], [0, 4], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 4], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 1], [0, 5], [1, 0], [1, 2], [1, 4]], [[2, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [3, 0], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 4], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 4], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 4], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 3], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 4], [0, 0], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 4], [1, 0], [1, 3], [3, 0], [3, 2]], [[2, 1]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 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[[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], 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{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], 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&#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2]], [[1, 0], [2, 0], [2, 1], [3, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [3, 0], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2]], [[1, 0], [2, 0], [3, 0], [3, 1]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 3], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 2], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 1], [1, 3], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], &#34;indices&#34;: [0, 0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: true}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 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{&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 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[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: 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[0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [1, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], 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&#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: 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1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], 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0], [1, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 1]], [[1, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], 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[[0, 1], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], 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0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 3], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 3], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [1, 1], [1, 0]]}, 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&#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [3, 3], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 3], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 3], [3, 3], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 1], [1, 0], [1, 2], [3, 0], [3, 3]], [[2, 4]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 5], [1, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 2], [3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 5], [1, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 5], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 5], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 4], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [3, 0], [3, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [3, 0], [3, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 5], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [3, 4], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 5], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 4], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 5]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [1, 1], [3, 4]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 5]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [3, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [1, 5], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 5], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 5], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0], [1, 5]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0], [3, 4]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0], [1, 5]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0], [3, 4]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 5]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [3, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 5], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 5], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 5], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 5], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 5], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 4], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 4]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [1, 1], [2, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 4]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [1, 4], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 4], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0], [1, 4]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0], [1, 4]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 4]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 4], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 1], [1, 0], [1, 1], [1, 5], [3, 0], [3, 2], [3, 4]], [[2, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 3], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 3], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 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[[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], 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0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [1, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, 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&#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 4], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 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{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 4], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], 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1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 3], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 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{&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 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0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 1], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 2], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [1, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, 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[[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0, 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[0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 2], [3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [3, 0], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 3], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: true}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], 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&#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 3], [1, 1]], [[2, 2]], [[3, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [3, 0], [3, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 3], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 4], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1]], [[1, 0], [1, 2], [2, 0], [2, 3], [3, 0], [3, 4]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [1, 1]], [[2, 0], [2, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [1, 1], [1, 2]], [[2, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 3], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 3], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: 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&#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: 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[5, 0], [5, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, 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[1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [1, 0], [3, 0], [4, 0], [5, 0]], [[2, 1]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], 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{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 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[[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [2, 0], [3, 0], [4, 0]], [[1, 1]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 3], [1, 0]], [[2, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1]], [[1, 0], [2, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, 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{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0, 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&#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2], [3, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1], [2, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [1, 0], [3, 2], [4, 0]], [[2, 1]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 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[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1]], [[1, 0], [2, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], 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[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, 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2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 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&#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2], [3, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [3, 0], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], &#34;indices&#34;: [0, 0], &#34;direction&#34;: 3, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: true}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 1], [3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [3, 0], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [3, 3], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [1, 0], [3, 0], [3, 1], [3, 3]], [[2, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [2, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [3, 0], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [3, 0], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 0], [2, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 0], [3, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[2, 0], [2, 2], [3, 2], [3, 2]]}, 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[0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1], [2, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 2], [2, 0], [2, 2], [3, 0], [3, 2]], [[1, 1]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 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&#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2], [1, 2]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 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{&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 3], [2, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [2, 3], [2, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [2, 2], [2, 3], [2, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 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[0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 3], [2, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [2, 3], [2, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [2, 3], [2, 3]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4]]}, 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{&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [2, 3], [2, 3]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2]]}, 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2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [2, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [2, 1], [2, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [2, 1]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2], [2, 2]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [0, 3], [1, 1], [2, 1], [2, 2], [2, 3]], [[3, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 5], [1, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 5], [0, 2], [0, 5]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [1, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 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{&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [0, 5], [1, 2], [1, 4]], [[2, 1]], [[3, 0], [3, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [1, 0]]}, 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[[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, 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{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 2], [0, 4], [2, 0], [2, 3], [2, 4]], [[1, 1]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, 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&#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [1, 2], [1, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 3], [1, 2], [1, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 2], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [1, 2], [1, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1, 3], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1, 3], &#34;pos&#34;: [[0, 3], [0, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1, 3], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1, 3], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [1, 3]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 0], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 0], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0], [0, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [1, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3], [1, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2]], [[1, 0], [2, 0], [2, 1]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2]], [[1, 0], [2, 0], [3, 0], [3, 1]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1, 3], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], 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3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1, 3], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 3], [0, 4], [2, 0], [2, 2]], [[1, 1]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [3, 1], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 3], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [3, 2], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 4], [0, 1], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [3, 1], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [3, 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{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [3, 1], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], 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1], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [4, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [4, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 3]], [[1, 1], [2, 1], [2, 2], [3, 0], [4, 1], [5, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [3, 1], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [3, 2], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], 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&#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 3]], [[1, 1], [2, 1], [3, 1], [3, 2]], [[4, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], 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4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [2, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 4], [0, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 4], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [2, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [2, 4], [2, 4]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], 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[{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [1, 1]], [[2, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], &#34;indices&#34;: [0, 0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: true}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: 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&#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [0, 3]], [[1, 0]], [[2, 1]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], 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&#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [1, 1]], [[2, 2]], [[3, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 2]], [[1, 0], [1, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: 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&#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], &#34;indices&#34;: [0, 0], &#34;direction&#34;: 1, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: true}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 4], [2, 0], [2, 3], [3, 0]], [[1, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1]], [[1, 0], [1, 2], [2, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}], 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&#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 2]], [[1, 0], [2, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [], &#34;pos&#34;: []}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], &#34;indices&#34;: [0, 0], &#34;direction&#34;: 1, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: true}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1]], [[1, 2]], [[2, 0], [3, 0], [3, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [1, 1], [1, 4], [3, 0], [3, 3]], [[2, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: 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[1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: 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[0, 3], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 2], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, 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&#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [2, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [0, 0], [0, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 4], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 3], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 1, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: true}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 1, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: true}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [2, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 5], [2, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[5, 6], [5, 6]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[5, 0], [5, 6], [5, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 3], [0, 4]], [[1, 1], [2, 5], [3, 1]], [[4, 2]], [[5, 0], [5, 6]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 7]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 7]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 7], [0, 7]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 5], [2, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 5], [2, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 6], [2, 6]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 7], [0, 7]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 7], [2, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 7], [2, 6]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 5], [2, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 6], [2, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 6], [2, 6]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 4], [0, 7]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 4], [2, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 4], [2, 6]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 7], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 4], [0, 7], [0, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 7], [0, 1], [0, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 7], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 7], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 7], [0, 4], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 7], [0, 3], [0, 4], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 7]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 6]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 5], [1, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 6], [0, 6]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 6], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 6], [1, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 5], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 5], [1, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 6]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [1, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [1, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 6], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 6], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 6], [0, 1], [0, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 6], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 6], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 6], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 6], [0, 2], [0, 3], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 3], [0, 4], [0, 7], [2, 0], [2, 5], [2, 6]], [[1, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 5], [1, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 6], [0, 6]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 6], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 6], [1, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 5], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 5], [1, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 6]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [1, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [1, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 6], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 6], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 6], [0, 1], [0, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 6], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 6], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 6], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 6], [0, 2], [0, 3], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 5], [1, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 5], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 5], [1, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 4], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 3], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 4], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 3], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 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1], [0, 2], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 2], [0, 3], [0, 4]], [[1, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], 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[2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 3], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 3], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: 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{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 2], [2, 1], [2, 3]], [[1, 4]], [[3, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: 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{&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], 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{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: 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{&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: true}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 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&#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 3], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 2], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 1], [1, 3], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], &#34;indices&#34;: [0, 0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: true}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2]], [[1, 0], [1, 1], [1, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 4], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 2], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1]], [[1, 0], [1, 2], [1, 4], [2, 0], [2, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 1], [1, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 4], [1, 4], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 4], [1, 4], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 2], [1, 4], [1, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: 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&#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 3]], [[1, 1], [1, 2], [1, 4]], [[2, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, 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{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 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{&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: true}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 2], [1, 0], [1, 2]], [[2, 1]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], 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[]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [4, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [1, 0], [3, 1], [4, 0], [5, 0]], [[2, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 4], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 4], [3, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [1, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 4], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [3, 4], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [3, 4], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 4], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 4], [3, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [3, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [3, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[3, 2], [3, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[3, 4], [3, 0], [3, 2], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 3], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 3], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 3], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 1], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 3], [1, 0], [1, 2], [3, 0], [3, 2], [3, 4]], [[2, 1]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 3], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 3], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 3], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 1], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 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{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [4, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [4, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [4, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 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[0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 6], [1, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 5], [3, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 6], [1, 6]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 6], [3, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 5], [3, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 4], [1, 6]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 5], [1, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 5], [1, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 5], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [1, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 3], [0, 4], [1, 1], [1, 6], [3, 0], [3, 5]], [[2, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, 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{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 5], [1, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 5], [1, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 5], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [1, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, 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[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, 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{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 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&#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 1], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], 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{&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 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[[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 2], [1, 1], [1, 3], [2, 1], [2, 4]], [[3, 5]], [[4, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 2], [0, 3], [1, 1]], [[2, 0], [2, 4]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], 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2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 1], [2, 0], [2, 2], [3, 0]], [[1, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [0, 3]], [[1, 1], [2, 1], [2, 4]], [[3, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 5], [0, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 5], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 5], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 5], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 5], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 4], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 5], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 5], [0, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 5], [0, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 5], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 5], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 5], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 5], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 4], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 4], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 4], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [0, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [0, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 4], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 4], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 1], [0, 5], [2, 0], [2, 2], [2, 4], [3, 0]], [[1, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 4], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 4], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 4], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [0, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [0, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 4], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 4], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 3], [0, 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1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: 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[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 0], [2, 0]]}, 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&#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 3], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 3], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 2], [2, 1], [2, 3]], [[1, 4]], [[3, 0], [4, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, 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&#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2], [2, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 3, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: true}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], &#34;indices&#34;: [0, 0], &#34;direction&#34;: 1, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: true}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [1, 0], [3, 0]], [[2, 1]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 5], [1, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 5], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 5], [0, 1], [0, 5]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 4], [0, 1], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 5], [1, 1], [1, 4], [3, 0], [3, 3]], [[2, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], 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{&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, 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{&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, 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3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 3]], [[1, 1], [2, 1]], [[3, 0], [3, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [4, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: 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0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [1, 0], [3, 0], [4, 0]], [[2, 1]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: 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{&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [4, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [4, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [4, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], &#34;indices&#34;: [0, 0], &#34;direction&#34;: 1, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: true}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 3]], [[1, 1]], [[2, 2]], [[3, 0], [4, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [4, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 4], [4, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 4], [4, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 1], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 1], [2, 3], [4, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [2, 1], [2, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 3], [2, 1], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 1], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 1], [2, 2], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [2, 1], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 1], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 3], [1, 1], [2, 1], [2, 3], [4, 0], [4, 4]], [[3, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 1], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 1], [2, 2], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [2, 1], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 1], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 1], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [2, 1], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 1], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 1], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [2, 1], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 1], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [1, 1], [2, 1], [2, 2]], [[3, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [1, 2]], [[2, 1]], [[3, 0], [3, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], 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[0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [4, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [4, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 4], [4, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [4, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 4], [4, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 5], [0, 3], [0, 5]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 4]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 1, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: true}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 3]], [[1, 0], [1, 1], [1, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 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3], &#34;pos&#34;: [[0, 2], [0, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2], [1, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 4], [2, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 3], [3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 4], [2, 4], [3, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 3], [3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 4], [2, 0], [2, 4]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 4], [2, 4], [3, 4]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 4], [3, 3], [3, 4]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 4], [2, 0], [2, 4]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 4], [2, 4], [3, 4]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 4], [3, 3], [3, 4]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[3, 4], [3, 3], [3, 4]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 4], [2, 4], [3, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 4], [3, 4], [3, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [3, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 4], [3, 4], [3, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 4], [2, 4], [3, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 4], [3, 3], [3, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [2, 4], [3, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 4], [2, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 4], [2, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4], [2, 4]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4], [3, 4]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 4], [2, 1], [2, 4]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 4], [2, 1], [3, 4]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [2, 4], [2, 1], [2, 4]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [2, 4], [2, 1], [3, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4], [2, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4], [3, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 4], [2, 4], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [2, 4], [2, 4], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4], [2, 4]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4], [3, 4]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 4], [2, 4], [3, 4]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], 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{&#34;patt&#34;: [2, 0, 1, 3], &#34;pos&#34;: [[0, 4], [0, 1], [0, 4], [2, 4]]}, {&#34;patt&#34;: [2, 0, 1, 3], &#34;pos&#34;: [[0, 4], [0, 1], [0, 4], [3, 4]]}, {&#34;patt&#34;: [2, 0, 1, 3], &#34;pos&#34;: [[0, 4], [0, 1], [2, 1], [2, 4]]}, {&#34;patt&#34;: [2, 0, 1, 3], &#34;pos&#34;: [[0, 4], [0, 1], [2, 1], [3, 4]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 4], [2, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 4], [2, 4]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 4], [3, 4]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 4], [0, 1], [2, 4], [2, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 4], [0, 1], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 4], [0, 1], [2, 4]]}, 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0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [2, 4], [3, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [3, 4], [3, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 1, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: true}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [0, 3]], [[1, 0], [1, 1]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: 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[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, 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[[3, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 7]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 7]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 6], [2, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 5], [4, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 6], [2, 6]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 6], [4, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 5], [4, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 4], [0, 7], [0, 7]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 7], [0, 7]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 7], [0, 4], [0, 7]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [1, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 7], [0, 7], [0, 7], [0, 7], [0, 7]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 7], [0, 7], [0, 7], [0, 7], [0, 7]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 7], [0, 7], [0, 7], [0, 7], [0, 7]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 7], [0, 7], [0, 7], [0, 7], [0, 7]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 7], [0, 7], [0, 7], [0, 7], [0, 7]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 7], [0, 7], [0, 7], [0, 7], [0, 7]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 7], [0, 7], [0, 7], [0, 7], [0, 7]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 7], [0, 7], [0, 7], [0, 7], [0, 7]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 7], [0, 7], [0, 7], [0, 7], [0, 7]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 7], [0, 7], [0, 7], [0, 7], [0, 7]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 7], [0, 7], [0, 7], [0, 7], [0, 7]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 5]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 5], [2, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 5], [2, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 5], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 6], [0, 3], [0, 6]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 4], [0, 7], [1, 3], [2, 1], [2, 3], [2, 6], [4, 0], [4, 5]], [[3, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: 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1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], 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&#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 4], [0, 2], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 3], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 2], [2, 2], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [2, 3], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 3], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 2], [2, 0], [2, 2], [2, 3]], [[1, 1]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 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&#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [], &#34;pos&#34;: []}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], 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3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 4], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 2], [0, 3], [1, 3], [1, 4]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [1, 4]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[1, 2], [1, 3], 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{&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 4], [1, 3], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 2], [1, 3], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 2], [1, 3], [1, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: 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{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], &#34;indices&#34;: [0, 0, 0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: true}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 1], [2, 5], [2, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 5], [2, 5], [3, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 4], [3, 5], [3, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 5], [2, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 5], [2, 5], [3, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 4], [3, 5], [3, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 5], [2, 1], [2, 5]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 5], [2, 5], [3, 5]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 5], [3, 4], [3, 5]]}, {&#34;patt&#34;: [1, 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{&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [2, 5], [3, 5]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 2], [0, 5], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [2, 5]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [3, 5]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [2, 5]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [3, 5]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [2, 5], [3, 5]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 2], [0, 2], [0, 2], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 2], [0, 2], [0, 2], [2, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 2], [0, 2], [0, 2], [3, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [2, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [3, 5]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 2], [0, 2], [0, 5], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [2, 5]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [3, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 2], [0, 5], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [2, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [3, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [2, 5], [3, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [3, 5], [3, 5]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 3], [2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 4], [2, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 4], [1, 1], [1, 4]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 4], [1, 4], [1, 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[0, 4], [2, 4], [2, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [0, 5], [2, 1], [2, 2], [2, 5], [3, 0], [3, 4], [3, 5]], [[1, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, 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{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 5], [1, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 5], [2, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 5], [4, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 5], [1, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 5], [2, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 5], [4, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [4, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [4, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 5], [2, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 5], [4, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 3], [4, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 5], [4, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 5], [1, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 5], [2, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 5], [4, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [4, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 5], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 5], [2, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 5], [4, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 5], [4, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 5], [4, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 5], [4, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 5], [1, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 5], [2, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 5], [4, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 5], [0, 2], [0, 5]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}], &#34;indices&#34;: [0, 0, 0], &#34;direction&#34;: 3, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: true}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 4], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 4], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 4], [0, 0], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 4], [1, 0], [1, 3], [3, 0], [3, 2]], [[2, 1]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 5], [2, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 5], [2, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 5], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 6], [0, 3], [0, 6]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 5], [0, 3], [0, 5]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 5], [0, 3], [0, 5]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [2, 0], [2, 1], [2, 0]]}, 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0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, 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2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 3], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 4], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 4], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 2], [0, 3], [1, 3], [1, 4]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [1, 4]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[1, 2], [1, 3], [1, 2], [1, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [1, 4], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [1, 4], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 3], [1, 4], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 4], [1, 3], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 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{&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 3], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [1, 3], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 3], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 2], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 1], [1, 2], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [0, 3], [1, 0], [1, 2], [1, 3], [1, 4]], [[2, 1]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 3], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1]]}, 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1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 2], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 1], [1, 2], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], 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[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 3], [3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 4], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [1, 2], [3, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [3, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 3], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 4], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 4]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 3], [1, 3], [3, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 4], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 2], [0, 3], [1, 3], [1, 4]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 2], [0, 3], [1, 3], [3, 4]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [1, 4]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [3, 4]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[1, 2], [1, 3], [1, 2], [1, 4]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[1, 2], [1, 3], [1, 2], [3, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [1, 4], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [1, 4], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 3], [1, 4], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 4], [1, 3], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 2], [1, 3], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 2], [1, 3], [1, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 1, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: true}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 6], [2, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 5], [4, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 6], [2, 6]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 6], [4, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 5], [4, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 5]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 3], [0, 4]], [[1, 1], [2, 1], [2, 6], [4, 0], [4, 5]], [[3, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 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&#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, 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{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 5], [0, 3], [0, 5]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], 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[0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 4], [0, 2], [0, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 3], [0, 5], [1, 2], [2, 1], [2, 2], [2, 4]], [[3, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 3]], [[1, 0], [1, 1], [1, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 4], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 4]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 4]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 4], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 4], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 3], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 3], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 3], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 3], [1, 0], [1, 1], [2, 0], [2, 1], [2, 4]], [[3, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 3], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 3], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 3], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 2], [1, 0], [1, 2]], [[2, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[5, 3], [5, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[5, 3], [5, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 5], [2, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 5], [3, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [2, 5], [2, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [2, 5], [3, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [3, 2], [3, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [3, 5], [3, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 2], [3, 2], [3, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 5], [2, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 5], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 5], [3, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 5], [2, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 5], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 5], [3, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [3, 5], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [3, 5], [3, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 5], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 2], [3, 5], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 5], [0, 2], [0, 5]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 5], [0, 2], [2, 5]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 5], [0, 2], [3, 5]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[3, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[2, 2], [2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[2, 2], [2, 5], [2, 5], [3, 5]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[2, 2], [2, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 2], [2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 2], [2, 5], [2, 5], [3, 5]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 2], [2, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 5]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [3, 5]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 5]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [3, 5]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 5]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [3, 5]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[2, 2], [2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[2, 2], [2, 5], [2, 5], [3, 5]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 5], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 5], [2, 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0, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1], [2, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, 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1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [0, 7], [1, 2], [1, 6], [2, 1], [4, 2], [4, 5], [5, 1]], [[3, 4]], [[6, 0], [6, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, 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[[3, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 7]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 6], [1, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 5], [2, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 3], [3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 6], [1, 6]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 6], [2, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 6], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 5], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 5], [2, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 5], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 5], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 4], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 7], [0, 7]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 7], [0, 7]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 7], [1, 6]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 7], [2, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 7], [3, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 7], [0, 1], [0, 7]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 7], [0, 7], [0, 7], [0, 7], [0, 7]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 7], [0, 7], [0, 7], [0, 7], [0, 7]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 7], [0, 7], [0, 7], [0, 7], [0, 7]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 7], [0, 7], [0, 7], [0, 7], [0, 7]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 7], [0, 7], [0, 7], [0, 7], [0, 7]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 7], [0, 7], [0, 7], [0, 7], [0, 7]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 7], [0, 7], [0, 7], [0, 7], [0, 7]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 7], [0, 7], [0, 7], [0, 7], [0, 7]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 7], [0, 7], [0, 7], [0, 7], [0, 7]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 7], [0, 7], [0, 7], [0, 7], [0, 7]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 7], [0, 7], [0, 7], [0, 7], [0, 7]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [0, 9], [1, 2], [1, 8], [3, 0], [3, 3], [3, 7], [5, 0], [5, 4], [5, 6]], [[2, 1]], [[4, 5]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, 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{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 4], [4, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 4], [4, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 5], [0, 3], [0, 5]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 4]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 3], [0, 5], [1, 2], [2, 2]], [[3, 1]], [[4, 0], [4, 4]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 2], [1, 1], [1, 3]], [[2, 0], [4, 0]], [[3, 4]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, 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2, 0], &#34;pos&#34;: [[1, 3], [1, 6], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [1, 1], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 1], [1, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 6], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 2], [0, 3], [1, 3], [1, 6]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 2], [0, 3], [1, 3], [2, 5]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [1, 6]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [2, 5]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[1, 2], [1, 3], [1, 2], [1, 6]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[1, 2], 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{&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 6], [1, 3], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 2], [1, 3], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 2], [1, 3], [1, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 3], [0, 4], [1, 1], [1, 3], [1, 4], [1, 7], [3, 0], [3, 5], [3, 6]], [[2, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 7]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 7]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 7]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 6], [1, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 5], [2, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 3], [3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 6], [1, 6]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 6], [2, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 6], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 5], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 5], [2, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 5], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 5], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 4], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 7], [0, 7]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 7], [0, 7]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 7], [1, 6]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 7], [2, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 7], [3, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 7], [0, 1], [0, 7]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 7], [0, 7], [0, 7], [0, 7], [0, 7]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 7], [0, 7], [0, 7], [0, 7], [0, 7]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 7], [0, 7], [0, 7], [0, 7], [0, 7]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 7], [0, 7], [0, 7], [0, 7], [0, 7]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 7], [0, 7], [0, 7], [0, 7], [0, 7]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 7], [0, 7], [0, 7], [0, 7], [0, 7]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 7], [0, 7], [0, 7], [0, 7], [0, 7]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 7], [0, 7], [0, 7], [0, 7], [0, 7]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 7], [0, 7], [0, 7], [0, 7], [0, 7]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 7], [0, 7], [0, 7], [0, 7], [0, 7]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 7], [0, 7], [0, 7], [0, 7], [0, 7]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 2], [3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 5], [1, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 5], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 5], [0, 1], [0, 5]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 5], [1, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 5], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 5], [0, 1], [0, 5]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2]], [[1, 0], [2, 0], [2, 1], [3, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 6], [1, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 5], [2, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 6], [1, 6]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 6], [2, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 5], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 5], [2, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 6]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [1, 2], [2, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 3], [1, 6]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 3], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 3], [2, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 3], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 6], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 6], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 6], [2, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 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{&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 6], [1, 3], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 2], [1, 3], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 2], [1, 3], [1, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 4], [0, 2], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [0, 4]], [[1, 1]], [[2, 0], [2, 3], [3, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 4], [0, 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{&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [0, 4]], [[1, 1]], [[2, 0], [3, 0], [3, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 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[[0, 2], [0, 2], [0, 6], [0, 2], [0, 6]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 6], [0, 2], [2, 6]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 6], [2, 2], [2, 6]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [2, 6], [2, 2], [2, 6]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [2, 6]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 6], [0, 6], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 6], [0, 6], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 6], [2, 6], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 6], [2, 6], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], 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{&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [2, 6], [2, 6]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 6], [0, 2], [0, 6], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 6], [0, 2], [0, 6], [2, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 6], [0, 2], [2, 6], [2, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 6], [2, 2], [2, 6], [2, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [2, 6]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 6], [0, 6], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 6], [0, 6], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 6], [0, 6], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 6], [2, 6], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [2, 6]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [2, 6], [2, 6]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 6], [0, 2], [0, 2], [0, 2], [0, 6]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 6], [0, 2], [0, 2], [0, 2], [2, 6]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 6], [0, 2], [0, 2], [2, 2], [2, 6]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [2, 6]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 6], [0, 2], [0, 2], [0, 6], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 6], [0, 2], [0, 2], [0, 6], [2, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 6], [0, 2], [0, 2], [2, 6], [2, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [2, 6]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 6], [0, 2], [0, 6], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 6], [0, 2], [0, 6], [0, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 6], [0, 2], [0, 6], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [2, 6]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [2, 6], [2, 6]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 4]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [2, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 3], [3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 4], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 1], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 1], [2, 2], [2, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 1], [2, 2], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 1], [2, 2], [3, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 1], [2, 5], [2, 5]]}, 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[0, 5], [0, 5], [2, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 2], [0, 5], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 2], [0, 5], [0, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 2], [0, 5], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [2, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [2, 5], [2, 5]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [0, 6], [1, 1], [2, 1], [2, 2], [2, 6], [3, 0], [3, 3], [3, 5], [5, 0]], [[4, 4]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 5], [1, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 5], [1, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 5], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [1, 2], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 3], [1, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 3], [2, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 3], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 5], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 5], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 5]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 3], [1, 3], [2, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 5], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [1, 1], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 1], [1, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 5], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 2], [0, 3], [1, 3], [1, 5]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 2], [0, 3], [1, 3], [2, 4]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [1, 5]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [2, 4]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[1, 2], [1, 3], [1, 2], [1, 5]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[1, 2], [1, 3], [1, 2], [2, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [1, 5], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [1, 5], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 3], [1, 5], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 5], [1, 3], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 2], [1, 3], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 2], [1, 3], [1, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 3], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 3], [1, 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{&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 4], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [1, 1], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 1], [1, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 2], [0, 3], [1, 3], [1, 4]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [1, 4]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[1, 2], [1, 3], [1, 2], [1, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [1, 4], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [1, 4], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 3], [1, 4], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 4], [1, 3], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 2], [1, 3], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 2], [1, 3], [1, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [1, 1], [1, 2], [2, 1]], [[3, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [1, 1], [1, 2]], [[2, 0], [3, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 4], [0, 1], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 4], [1, 1], [1, 3]], [[2, 0], [3, 0], [3, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 4], [0, 1], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 4], [1, 1], [1, 3]], [[2, 0], [2, 2], [3, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 5], [1, 4]]}, {&#34;patt&#34;: [0, 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5]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [1, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, 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&#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [0, 5], [1, 2], [1, 4]], [[2, 1]], [[3, 0], [3, 3], [4, 0]]]}}, 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1], &#34;pos&#34;: [[1, 3], [1, 2], [1, 3], [1, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, 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{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 3], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 2], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 1], [1, 2], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [0, 3], [1, 1], [1, 2], [1, 3], [1, 4]], [[2, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 5], [1, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 5], [1, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 3], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 5], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 5]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 5], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 5], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 2], [0, 3], [1, 3], [1, 5]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [1, 5]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[1, 2], [1, 3], [1, 2], [1, 5]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [1, 5], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [1, 5], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 3], [1, 5], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 5], [1, 3], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 2], [1, 3], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 2], [1, 3], [1, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [0, 3], [1, 2], [1, 3], [1, 5]], [[2, 1]], [[3, 0], [3, 4]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 1], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 1], [2, 2], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 1], [2, 2], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 1], [2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4]]}, 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{&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 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1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: true}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 2], [1, 1]], [[2, 0], [3, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[5, 0], [5, 0], [6, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[5, 0], [6, 0], [6, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[6, 0], [6, 0], [6, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [1, 1], [3, 2], [4, 1]], [[2, 3]], [[5, 0], [6, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], 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[[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 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{&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [2, 1], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 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&#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2], [2, 2]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [0, 3], [1, 1], [2, 1], [2, 2], [2, 3]], [[3, 0], [4, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 2], [0, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [1, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [1, 4]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [1, 4]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [1, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[1, 2], [1, 4], [1, 2], [1, 4]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 2], [1, 4], [1, 4], [1, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 2], [1, 4], [1, 4], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1, 3], &#34;pos&#34;: [[0, 4], [0, 2], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 0, 1, 3], &#34;pos&#34;: [[0, 4], [0, 2], [0, 4], [1, 4]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 4], [1, 4]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 4], [1, 2], [1, 2], [1, 4]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[1, 4], [1, 2], [1, 2], [1, 4]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 4], [1, 2], [1, 4], [1, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 4], [1, 2], [1, 4], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 4], [1, 4], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 2], [1, 4], [1, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4], [0, 2], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4], [0, 2], [1, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4], [1, 2], [1, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [1, 4], [1, 2], [1, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [1, 4]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4], [0, 4], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4], [0, 4], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4], [1, 4], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 4], [1, 4], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [1, 4]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4], [0, 4], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4], [0, 4], [1, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4], [1, 4], [1, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 4], [1, 4], [1, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [1, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2], [1, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [1, 2], [1, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], 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{&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [0, 4], [1, 2], [1, 4]], [[2, 1]], [[3, 0], [3, 3], 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2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [0, 3], [1, 0], [2, 2], [3, 0], [4, 2], [5, 0]], [[6, 1]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 2]]}, {&#34;patt&#34;: [0, 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{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], 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{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], 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&#34;pos&#34;: [[0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [5, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [6, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [5, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [6, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[5, 0], [5, 0], [6, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[5, 0], [6, 0], [6, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[6, 0], [6, 0], [6, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[7, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[7, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[7, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [7, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [7, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[5, 0], [7, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[6, 1], [6, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[6, 1], [6, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [4, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[7, 0], [7, 0], [7, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 0]]}], &#34;indices&#34;: [0, 0, 0], &#34;direction&#34;: 1, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: true}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [3, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, 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&#34;pos&#34;: [[0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 2], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 0]]}], &#34;indices&#34;: [0, 0, 0], &#34;direction&#34;: 1, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: true}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [4, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [5, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [4, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [4, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [0, 3], [1, 0], [3, 0], [4, 0], [5, 0]], [[2, 1]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, 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&#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 3], [0, 4], [1, 1], [2, 3], [3, 1], [4, 3], [5, 1]], [[6, 2]], [[7, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[5, 0], [5, 0], [6, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[5, 0], [6, 0], [6, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[6, 0], [6, 0], [6, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 3], [0, 4], [1, 1], [2, 3], [3, 1]], [[4, 2]], [[5, 0], [6, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 7]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 7]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 7]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 5], [2, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 5], [2, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 6], [2, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 5], [2, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 5], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 6], [2, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 6], [2, 6]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 6], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 7], [0, 7]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 7], [0, 7]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 7], [2, 6]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 7], [0, 3], [0, 7]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 5], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], 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1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 3], [0, 7], [2, 0], [2, 2], [2, 5], [2, 6], [3, 4]], [[1, 1]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: 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[[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[6, 1], [6, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 5], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 4], [4, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[6, 1], [6, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 4], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 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0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 5], [0, 4], [0, 5]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 5], [0, 4], [2, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 5], [0, 4], [4, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 5], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 5], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], 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2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 3], [0, 4], [1, 1], [2, 3], [3, 1], [4, 3], [5, 1]], [[6, 2]], [[7, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[7, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[7, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[7, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[7, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [4, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[6, 2], [6, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 5], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 5], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[6, 2], [6, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[7, 3], [7, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 4], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [3, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 5], [3, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [7, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 3], [4, 3], [7, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [5, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 3], [4, 3], [7, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[7, 0], [7, 0], [7, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[7, 0], [7, 3], [7, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 5], [0, 4], [0, 5]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 5], [0, 4], [3, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 5], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 5], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 5], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [4, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[6, 2], [6, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [6, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [4, 2], [6, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [5, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 2], [4, 2], [6, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[6, 0], [6, 0], [6, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[6, 0], [6, 2], [6, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 4], [0, 5], [1, 3], [2, 1], [3, 4], [4, 3], [5, 1], [7, 0], [7, 3]], [[6, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[5, 0], [5, 0], [6, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[5, 0], [6, 0], [6, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[6, 0], [6, 0], [6, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 3], [0, 4], [1, 1], [2, 3], [3, 1]], [[4, 2]], [[5, 0], [6, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 5], [1, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 5], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 5], [1, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 5], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 6], [1, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 6], [0, 2], [0, 6]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 4], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 5], [1, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 5], [0, 2], [0, 5]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 5], [0, 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&#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 5], [1, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 5], [0, 2], [0, 5]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 3], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 5], [1, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 5], [0, 2], [0, 5]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 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&#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 4], [0, 2], [0, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], 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{&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 4], [0, 2], [0, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [0, 4], [1, 0], [1, 1]], [[2, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 4]], [[1, 2], [2, 0], [2, 1], [2, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 2], [1, 1]], [[2, 0], [3, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 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[0, 2], [1, 5], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [1, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 2], [0, 5], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 2], [0, 5], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 2], [0, 5], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [1, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [1, 5], [1, 5]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 3], [0, 6], [1, 3], [1, 6], [3, 0], [3, 2], [3, 4], [3, 5]], [[2, 1]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 5], [1, 5], [1, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 5], [1, 5], [1, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 5], [1, 5], [1, 5]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 5], [1, 5], [1, 5]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 5], [1, 5], [1, 5]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 5], [1, 5], [2, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 5], [1, 5], [1, 5]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 5], [1, 5], [2, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 5], [1, 5], [1, 5]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 5], [1, 5], [1, 5]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 5], [1, 5], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5], [1, 5]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 2], [0, 5], [1, 5], [1, 5]]}, {&#34;patt&#34;: [0, 1, 3, 2], 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{&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [1, 5]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [1, 5], [1, 5]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 2], [0, 5], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 2], [0, 5], [1, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 2], [1, 5], [1, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 5], [1, 2], [1, 5], [1, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [1, 5]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 5], [1, 5], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [1, 5]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [1, 5], [1, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 2], [0, 2], [0, 2], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 2], [0, 2], [0, 2], [1, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 2], [0, 2], [1, 2], [1, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [1, 5]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 2], [0, 2], [0, 5], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 2], [0, 2], [0, 5], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 2], [0, 2], [1, 5], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [1, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 2], [0, 5], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 2], [0, 5], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 2], [0, 5], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [1, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [1, 5], [1, 5]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: 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&#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 5], [1, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 5], [1, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 5], [1, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 5], [1, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 5], [0, 2], [0, 5]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 2], [0, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [1, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 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1], [0, 0], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [0, 4], [1, 2], [1, 4]], [[2, 0], [2, 1], [2, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 5], [1, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 5], [0, 2], [0, 5]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [1, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [0, 5], [1, 2], [1, 4]], [[2, 0], [2, 1], [2, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 3], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: true}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 5], [3, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 5], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 5], [3, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 3], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 4], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 5], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 4], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 4], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1]], [[1, 0], [1, 2], [2, 0], [2, 3], [3, 0], [3, 4], [3, 5]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [4, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [4, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [4, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 5], [4, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 5], [4, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 1, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: true}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 5], [3, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 6], [4, 6]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 5], [3, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 6], [4, 6]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 3], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 4], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 3], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 4], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 4], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 2], [1, 1], [1, 3], [2, 1], [2, 4]], [[3, 5]], [[4, 0], [4, 6]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [4, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 4], [0, 2], [0, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [0, 4], [1, 0], [3, 0], [4, 0], [4, 3]], [[2, 1]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 1], [1, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 2], [0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, 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[0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 2], [0, 3], [1, 1], [1, 2], [1, 3]], [[2, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], 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&#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3], [2, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [2, 3], [2, 3]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, 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3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1, 3], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, 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&#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 1, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, 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{&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 1], [0, 4], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 1], [0, 4], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 1], [0, 1], [0, 1], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 1], [0, 4], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 4], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4], [2, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1, 3], &#34;pos&#34;: [[0, 4], [0, 1], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 4], [2, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 4], [0, 1], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 4], [0, 4], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 4], [0, 4], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 4], [0, 1], [0, 1], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 1], [0, 4], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 1], [0, 4], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 1], [0, 1], [0, 1], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 1], [0, 4], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 4], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1, 3], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 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{&#34;class_module&#34;: &#34;tilings.strategies.obstruction_inferral&#34;, &#34;strategy_class&#34;: &#34;ObstructionInferralStrategy&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: 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[0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 3, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, &#34;idx&#34;: 0}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: 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{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [4, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 2], [4, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 2], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}, &#34;idx&#34;: 0}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: 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&#34;pos&#34;: [[0, 1], [0, 2], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [1, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, 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[[0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [3, 3], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 3], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 3], [3, 3], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: 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1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], 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[0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [3, 3], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 3], [3, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 5], [3, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 5], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 5], [3, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [3, 0], [3, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [3, 3], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [3, 5], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 3], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 3], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}, &#34;idx&#34;: 0}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 1], [3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [3, 0], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [3, 0], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 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0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [1, 1], [3, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [3, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [1, 3], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 3], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [3, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 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0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.obstruction_inferral&#34;, &#34;strategy_class&#34;: &#34;ObstructionInferralStrategy&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}]}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 1], [3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [3, 0], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [3, 3], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: 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1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [3, 3], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [3, 5], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 3], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 3], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}, 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0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 3], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 5], [1, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 2], [3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 5], [1, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 5], [3, 2]]}, 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0, 2], &#34;pos&#34;: [[0, 1], [1, 1], [3, 4]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 5]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [3, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [3, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [1, 5], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 5], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], 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5], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 5], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 5], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 5], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}, &#34;idx&#34;: 0}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.obstruction_inferral&#34;, &#34;strategy_class&#34;: &#34;ObstructionInferralStrategy&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.obstruction_inferral&#34;, &#34;strategy_class&#34;: &#34;ObstructionInferralStrategy&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [4, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [4, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [4, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [4, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], 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[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [4, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}]], 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&#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], 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{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: 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&#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [3, 0], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 3], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 4], [3, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 5], [3, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 5], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 5], [3, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [3, 0], [3, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 3], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 4], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 5], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 4], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 4], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 4], [3, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 5], [3, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 5], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 5], [3, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [3, 0], [3, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 3], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 4], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 5], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 4], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 4], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [3, 0], [3, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 3], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 4], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.obstruction_inferral&#34;, &#34;strategy_class&#34;: &#34;ObstructionInferralStrategy&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}]}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], 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{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [3, 2]]}, 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0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [2, 4], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, &#34;idx&#34;: 0}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [4, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [2, 4], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 2], [4, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [4, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 5], [2, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 5], [2, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 3], [2, 5], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 3], [4, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [1, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [4, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [2, 4], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 2], [4, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, &#34;idx&#34;: 0}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [4, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [4, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], 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1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 3], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, 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{&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 3], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 4], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 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2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2], [2, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, 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2, 3, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2], [3, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, 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2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [0, 2], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [0, 4], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, 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{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.obstruction_inferral&#34;, &#34;strategy_class&#34;: &#34;ObstructionInferralStrategy&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]}}, &#34;idx&#34;: 0}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: 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&#34;pos&#34;: [[0, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], 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&#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [1, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: 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{&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: 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{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [2, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 5], [2, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 5], [2, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4]]}, 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{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[5, 1], [5, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [2, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], 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2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 2], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 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{&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], 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&#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [4, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [4, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], 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true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], 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0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], 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{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], 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[[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 5], [0, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 5], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 3], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, &#34;idx&#34;: 0}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: 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&#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], 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0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 4], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 1, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 4], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [2, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 5], [2, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[5, 6], [5, 6]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[5, 0], [5, 6], [5, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 1, 0], 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&#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], 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[[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, &#34;idx&#34;: 0}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], 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{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [2, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [0, 0], [0, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 4], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 3], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, 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[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 5], [2, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 5], [2, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 6], [2, 6]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 7], [0, 7]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 7], [2, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 7], [2, 6]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 5], [2, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 6], [2, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 6], [2, 6]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 4], [0, 7]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 4], [2, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 4], [2, 6]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 7], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 4], [0, 7], [0, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 7], [0, 1], [0, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 7], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 7], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 7], [0, 4], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 7], [0, 3], [0, 4], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 7]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 6]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 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&#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: 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&#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 3], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 3], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 5], [1, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 5], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 5], [1, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 5], [2, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 5], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 5], [2, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], 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2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], 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&#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 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&#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], 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{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: 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&#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 3], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 2], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 4], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 2], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 1], [1, 3], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 1], [1, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 4], [1, 4], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 4], [1, 4], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 2], [1, 4], [1, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: 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{&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 3], [3, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [3, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [3, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 3], [3, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[3, 2], [3, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[3, 3], [3, 0], [3, 2], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 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&#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], 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[[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 1, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [1, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 1, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [1, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 6], [1, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 5], [3, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 6], [1, 6]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 6], [3, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 5], [3, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 4], [1, 6]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 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[[0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: 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&#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 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0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, 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{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], 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{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, 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[[{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 5], [3, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 5], [3, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 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&#34;pos&#34;: [[0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 1, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [3, 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{&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 5], [0, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 5], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 5], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 5], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 5], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 4], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 5], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 5], [0, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 5], [0, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 5], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 5], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 5], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 5], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [4, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [4, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [4, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [4, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 3], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 3], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: 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{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [4, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [4, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0], 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[[0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [4, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 4], [4, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 4], [4, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 1], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 1], [2, 3], [4, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [2, 1], [2, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 3], [2, 1], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: 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[[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 5], [0, 3], [0, 5]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], 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1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, 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1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 4], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 4], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 4], [0, 0], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [4, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [4, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 4], [4, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [4, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 4], [4, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 5], [0, 3], [0, 5]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 4]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 7]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 7]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0], 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[[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 7], [0, 7], [0, 7], [0, 7], [0, 7]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 7], [0, 7], [0, 7], [0, 7], [0, 7]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 7], [0, 7], [0, 7], [0, 7], [0, 7]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 7], [0, 7], [0, 7], [0, 7], [0, 7]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 7], [0, 7], [0, 7], [0, 7], [0, 7]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 7], [0, 7], [0, 7], [0, 7], [0, 7]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 7], [0, 7], [0, 7], [0, 7], [0, 7]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 7], [0, 7], [0, 7], [0, 7], [0, 7]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 7], [0, 7], [0, 7], [0, 7], [0, 7]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 7], [0, 7], [0, 7], [0, 7], [0, 7]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], 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{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 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0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 3], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 2], [2, 2], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [2, 3], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 3], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 1, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 6], [2, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 5], [4, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 6], [2, 6]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 6], [4, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 5], [4, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 5]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: 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{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 4], [2, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 3], [3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: 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{&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 5], [0, 2], [0, 2], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 5], [0, 2], [0, 2], [2, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 5], [0, 2], [0, 2], [3, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [2, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [3, 5]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 2], [0, 5], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [2, 5]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [3, 5]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [2, 5]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [3, 5]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [2, 5], [3, 5]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 2], [0, 5], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [2, 5]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [3, 5]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [2, 5]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [3, 5]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [2, 5], [3, 5]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 2], [0, 2], [0, 2], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 2], [0, 2], [0, 2], [2, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 2], [0, 2], [0, 2], [3, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [2, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [3, 5]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 2], [0, 2], [0, 5], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [2, 5]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [3, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 2], [0, 5], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [2, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [3, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [2, 5], [3, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [3, 5], [3, 5]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], 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[[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 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{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 5], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 5]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 4], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], 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{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 4], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 5], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 4], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 5], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 5], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 5], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 4], [2, 0], [2, 1], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 5], [2, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 5], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 5], [2, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 5], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 5]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 4], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 5], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 5], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 5]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 5]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 5]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 4], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 5], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 4], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 5], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 5], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 5], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 4], [2, 0], [2, 1], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 4], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 4]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 4]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 4], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 4], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.obstruction_inferral&#34;, &#34;strategy_class&#34;: &#34;ObstructionInferralStrategy&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}]}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 1], [3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 1], [3, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 3], [4, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 5], [4, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 5], [2, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 5], [3, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 5], [4, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [2, 5], [2, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [2, 5], [3, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [2, 5], [4, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [3, 2], [3, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [3, 2], [4, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [3, 5], [3, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [3, 5], [4, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [4, 5], [4, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 2], [3, 2], [3, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 2], [3, 2], [4, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 5], [3, 5], [4, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 5], [4, 5], [4, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[4, 5], [4, 5], [4, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 5], [2, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 5], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 5], [3, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 5], [4, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 5], [2, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 5], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 5], [3, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 5], [4, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [3, 5], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [3, 5], [3, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [3, 5], [4, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [4, 5], [4, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 5], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 2], [3, 5], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 5], [3, 5], [4, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 5], [4, 5], [4, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 5], [4, 5], [4, 5]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 5], [0, 2], [0, 5]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 5], [0, 2], [2, 5]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 5], [0, 2], [3, 5]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 5], [0, 2], [4, 5]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 5], [3, 5], [4, 5]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 5], [4, 5], [4, 5]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 5], [3, 5], [4, 5]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 5], [4, 5], [4, 5]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[3, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[3, 5], [3, 5], [4, 5]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[3, 5], [4, 5], [4, 5]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[4, 5], [4, 5], [4, 5]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 5], [3, 5], [4, 5]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 5], [4, 5], [4, 5]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 5], [3, 5], [4, 5]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 5], [4, 5], [4, 5]]}, {&#34;patt&#34;: [1, 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[0, 1, 2, 3], &#34;pos&#34;: [[2, 2], [2, 5], [2, 5], [4, 5]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[2, 2], [2, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[2, 2], [2, 5], [3, 5], [4, 5]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[2, 2], [2, 5], [4, 5], [4, 5]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 2], [2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 2], [2, 5], [2, 5], [3, 5]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 2], [2, 5], [2, 5], [4, 5]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 2], [2, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 2], [2, 5], [3, 5], [4, 5]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 2], [2, 5], [4, 5], [4, 5]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 5]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [3, 5]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [4, 5]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 5]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [3, 5]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [4, 5]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 5]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [3, 5]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [4, 5]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[2, 2], [2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[2, 2], [2, 5], [2, 5], [3, 5]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[2, 2], [2, 5], [2, 5], [4, 5]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 5], [2, 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5], [2, 5]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [2, 5], [3, 5]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [2, 5], [5, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [2, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [3, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [5, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [2, 5], [3, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [2, 5], [5, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [3, 5], [5, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [5, 5], [5, 5]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, 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[[5, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[5, 3], [5, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[5, 3], [5, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[5, 3], [5, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[5, 5], [5, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 5], [2, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 5], [3, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 5], [5, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [2, 5], [2, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [2, 5], [3, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [2, 5], [5, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [3, 2], [3, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [3, 2], [5, 5]]}, 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5]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 5], [3, 5], [5, 5]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 5], [5, 5], [5, 5]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[5, 5], [5, 5], [5, 5]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 5], [3, 5], [5, 5]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 5], [5, 5], [5, 5]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[5, 5], [5, 5], [5, 5]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 5], [3, 5], [5, 5]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 5], [5, 5], [5, 5]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[5, 5], [5, 5], [5, 5]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[2, 2], [2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[2, 2], [2, 5], [2, 5], [3, 5]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[2, 2], [2, 5], 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{&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 2], [2, 5], [2, 5], [3, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 2], [2, 5], [2, 5], [5, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 2], [2, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 2], [2, 5], [3, 5], [5, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 2], [2, 5], [5, 5], [5, 5]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5], [3, 5]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5], [5, 5]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5], [3, 5]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5], [5, 5]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [1, 3, 2, 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&#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], 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&#34;pos&#34;: [[0, 2], [3, 5], [3, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 2], [3, 2], [3, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 5], [2, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 5], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 5], [3, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 5], [2, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 5], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 5], [3, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [3, 5], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [3, 5], [3, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 5], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 2], [3, 5], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 5], [0, 2], [0, 5]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 5], [0, 2], [2, 5]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 5], [0, 2], [3, 5]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[3, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[2, 2], [2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[2, 2], [2, 5], [2, 5], [3, 5]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[2, 2], [2, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 2], [2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 2], [2, 5], [2, 5], [3, 5]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 2], [2, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 5]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [3, 5]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 5]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [3, 5]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 5]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [3, 5]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[2, 2], [2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[2, 2], [2, 5], [2, 5], [3, 5]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 5], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 5], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 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[[0, 2], [0, 5], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [2, 5], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 2], [2, 5], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 2], [2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 2], [2, 5], [2, 5], [3, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 2], [2, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5], [3, 5]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5], [3, 5]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5], [2, 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[[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5], [3, 5]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5], [3, 5]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 5], [2, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [2, 5]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [3, 5]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], 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5], [0, 5], [0, 5], [2, 5], [3, 5]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [2, 5]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [3, 5]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [2, 5], [3, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [2, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [3, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [2, 5], [3, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [3, 5], [3, 5]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.obstruction_inferral&#34;, &#34;strategy_class&#34;: &#34;ObstructionInferralStrategy&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 5]]}]}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], 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5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 7]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: 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3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[6, 6], [6, 6]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 8], [0, 8]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [4, 2], [4, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [4, 2], [6, 6]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 8], [0, 8]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 8], [1, 7]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 8], [4, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 8], [4, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 8], [6, 6]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 7], [4, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [4, 5], [4, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [5, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[6, 0], [6, 0], [6, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 8], [0, 2], [0, 8]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 8], [0, 8], [0, 8], [0, 8], [0, 8]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 8], [0, 8], [0, 8], [0, 8], [0, 8]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 8], [0, 8], [0, 8], [0, 8], [0, 8]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 8], [0, 8], [0, 8], [0, 8], [0, 8]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 8], [0, 8], [0, 8], [0, 8], [0, 8]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 8], [0, 8], [0, 8], [0, 8], [0, 8]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 8], [0, 8], [0, 8], [0, 8], [0, 8]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 8], [0, 8], [0, 8], [0, 8], [0, 8]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 8], [0, 8], [0, 8], [0, 8], [0, 8]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 8], [0, 8], [0, 8], [0, 8], [0, 8]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 8], [0, 8], [0, 8], [0, 8], [0, 8]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, 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[[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 7]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 8]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 7]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 8]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 7]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 8]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 1]]}, {&#34;patt&#34;: [0], 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0, 2, 1, 4], &#34;pos&#34;: [[0, 8], [0, 8], [0, 8], [0, 8], [0, 8]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 8], [0, 8], [0, 8], [0, 8], [0, 8]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 8], [0, 8], [0, 8], [0, 8], [0, 8]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], 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{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 7]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 7]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 7]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 6], [1, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [4, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 5], [4, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[6, 3], [6, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 6], [1, 6]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 6], [4, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 5], [4, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[6, 3], [6, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 7], [0, 7]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [4, 2], [4, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 7], [0, 7]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 7], [1, 6]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 7], [4, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 7], [4, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 6], [4, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [4, 5], [4, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [5, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[6, 0], [6, 0], [6, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 7], [0, 2], [0, 7]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 7], [0, 7], [0, 7], [0, 7], [0, 7]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 7], [0, 7], [0, 7], [0, 7], [0, 7]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 7], [0, 7], [0, 7], [0, 7], [0, 7]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 7], [0, 7], [0, 7], [0, 7], [0, 7]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 7], [0, 7], [0, 7], [0, 7], [0, 7]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 7], [0, 7], [0, 7], [0, 7], [0, 7]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 7], [0, 7], [0, 7], [0, 7], [0, 7]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 7], [0, 7], [0, 7], [0, 7], [0, 7]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 7], [0, 7], [0, 7], [0, 7], [0, 7]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 7], [0, 7], [0, 7], [0, 7], [0, 7]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 7], [0, 7], [0, 7], [0, 7], [0, 7]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.obstruction_inferral&#34;, &#34;strategy_class&#34;: &#34;ObstructionInferralStrategy&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 6]]}]}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, 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{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 5], [2, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 5], [4, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 5], [0, 2], [0, 5]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 7]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 8]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 7]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 9]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 7]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 8]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 9]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 8]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 9]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 7]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 8]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 9]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 7]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 8]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 9]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 8], [1, 8]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 3], [3, 7]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 3], [5, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 3], [5, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 7], [3, 7]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 5], [4, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[5, 4], [5, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[5, 4], [5, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[5, 6], [5, 6]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 8], [1, 8]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 8], [3, 7]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 8], [5, 6]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 7], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 7], [3, 7]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 7], [5, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 7], [5, 6]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 5], [4, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[5, 4], [5, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[5, 6], [5, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[5, 6], [5, 6]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 9], [0, 9]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 9], [0, 9]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 9], [1, 8]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 9], [3, 7]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 9], [5, 6]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 9], [0, 2], [0, 9]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 9], [0, 9], [0, 9], [0, 9], [0, 9]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 9], [0, 9], [0, 9], [0, 9], [0, 9]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 9], [0, 9], [0, 9], [0, 9], [0, 9]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 9], [0, 9], [0, 9], [0, 9], [0, 9]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 9], [0, 9], [0, 9], [0, 9], [0, 9]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 9], [0, 9], [0, 9], [0, 9], [0, 9]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 9], [0, 9], [0, 9], [0, 9], [0, 9]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 9], [0, 9], [0, 9], [0, 9], [0, 9]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 9], [0, 9], [0, 9], [0, 9], [0, 9]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 9], [0, 9], [0, 9], [0, 9], [0, 9]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 9], [0, 9], [0, 9], [0, 9], [0, 9]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 4]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 5]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 5], [0, 3], [0, 5]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 4], [4, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 4], [4, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 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{&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 4], [1, 4], [1, 7]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 4], [1, 4], [3, 6]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 7], [1, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [0, 3], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [1, 1], [1, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 1], [1, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 7], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 3], [0, 4], [1, 4], [1, 7]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 3], [0, 4], [1, 4], [3, 6]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 4], [0, 4], [1, 4], [1, 7]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 4], [0, 4], [1, 4], [3, 6]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[1, 3], [1, 4], [1, 3], [1, 7]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[1, 3], [1, 4], [1, 3], [3, 6]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 4], [1, 7], [1, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [1, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [1, 7], [1, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 3], [1, 4], [1, 4], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 3], [1, 4], [1, 7], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [1, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [1, 4], [1, 4], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [1, 7], [1, 4], [1, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [1, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [1, 3], [1, 4], [1, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 3], [1, 4], [1, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 7]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 6]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: 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[[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 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[[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [4, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [5, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 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[[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 4], [0, 2], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], 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[[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 4], [0, 2], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: 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&#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 4], [0, 1], [0, 4]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], 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[0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 2], [3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 5], [1, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 5], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 5], [0, 1], [0, 5]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 4], [0, 1], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.obstruction_inferral&#34;, &#34;strategy_class&#34;: &#34;ObstructionInferralStrategy&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}]}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 5], [1, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 5], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 5], [0, 1], [0, 5]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 4], [0, 1], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.obstruction_inferral&#34;, &#34;strategy_class&#34;: &#34;ObstructionInferralStrategy&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [1, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 4], [0, 2], [0, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, 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&#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 5], [1, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 5], [0, 2], [0, 5]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 6], [1, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 5], [2, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 6], [1, 6]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 6], [2, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 5], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 5], [2, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 6]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [1, 2], [2, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 3], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 6], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 6]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 3], [1, 3], [2, 5]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 6], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 6], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 2], [0, 3], [1, 3], [1, 6]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 2], [0, 3], [1, 3], [2, 5]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [1, 6]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [2, 5]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[1, 2], [1, 3], [1, 2], [1, 6]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[1, 2], [1, 3], [1, 2], [2, 5]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [1, 6], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [1, 6], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 3], [1, 6], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 6], [1, 3], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 2], [1, 3], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 2], [1, 3], [1, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 6], [1, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 4], [3, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 5], [3, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 6], [1, 6]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 6], [3, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 5], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 5], [3, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 6]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [1, 2], [3, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 3], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 6], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 6]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 3], [1, 3], [3, 5]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 6], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 6], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 2], [0, 3], [1, 3], [1, 6]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 2], [0, 3], [1, 3], [3, 5]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [1, 6]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [3, 5]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[1, 2], [1, 3], [1, 2], [1, 6]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[1, 2], [1, 3], [1, 2], [3, 5]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [1, 6], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [1, 6], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 3], [1, 6], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 6], [1, 3], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 2], [1, 3], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 2], [1, 3], [1, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 6], [1, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 4], [3, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 5], [3, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 6], [1, 6]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 6], [3, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 5], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 5], [3, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 6]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [1, 2], [3, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 3], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 6], [1, 2]]}, {&#34;patt&#34;: 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[0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [4, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [4, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 1, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [4, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [4, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[5, 0], [5, 0], [6, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[5, 0], [6, 0], [6, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[6, 0], [6, 0], [6, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}, &#34;idx&#34;: 0}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 3], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 5], [3, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 5], [3, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [1, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [1, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 4], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, 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{&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 2], [0, 2], [0, 5], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 2], [0, 2], [1, 5], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [1, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 2], [0, 5], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 2], [0, 5], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 2], [0, 5], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [1, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [1, 5], [1, 5]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], 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[0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 3], [3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 4], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 5], [1, 5], [1, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 5], [1, 5], [1, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 5], [1, 5], [1, 5]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 5], [1, 5], [1, 5]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 5], [1, 5], [1, 5]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 5], [1, 5], [3, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 5], [1, 5], [1, 5]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 5], [1, 5], [3, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 5], [1, 5], [1, 5]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 5], [1, 5], [1, 5]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 5], [1, 5], [3, 4]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5], [1, 5]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 2], [0, 5], [1, 5], [1, 5]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5], [1, 5]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 5], [1, 5], [1, 5]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5], [1, 5]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5], [1, 5]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5], [3, 4]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5], [1, 5]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 5], [1, 5], [1, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5], [1, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5], [3, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 5], [1, 5], [1, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 5], [1, 5], [3, 4]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[1, 2], [1, 5], [1, 2], [1, 5]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 2], [1, 5], [1, 5], [1, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 2], [1, 5], [1, 5], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1, 3], &#34;pos&#34;: [[0, 5], [0, 2], [0, 5], [0, 5]]}, {&#34;patt&#34;: [2, 0, 1, 3], &#34;pos&#34;: [[0, 5], [0, 2], [0, 5], [1, 5]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 5], [0, 2], [0, 5], [0, 5]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 5], [0, 2], [0, 5], [1, 5]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 5], [0, 2], [0, 5], [3, 4]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 5], [1, 2], [1, 2], [1, 5]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[1, 5], [1, 2], [1, 2], [1, 5]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 5], [1, 2], [1, 5], [1, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 5], [1, 2], [1, 5], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 5], [1, 5], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 5], [1, 5], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], 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5], [0, 5], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [1, 5]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [1, 5], [1, 5]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 2], [0, 5], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 2], [0, 5], [1, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 2], [1, 5], [1, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 5], [1, 2], [1, 5], [1, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [1, 5]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 5], [1, 5], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [1, 5]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [1, 5], [1, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 2], [0, 2], [0, 2], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 2], [0, 2], [0, 2], [1, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 2], [0, 2], [1, 2], [1, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [1, 5]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 2], [0, 2], [0, 5], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 2], [0, 2], [0, 5], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 2], [0, 2], [1, 5], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [1, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 2], [0, 5], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 2], [0, 5], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 2], [0, 5], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [1, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [1, 5], [1, 5]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, 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{&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 5], [1, 2], [1, 2], [1, 5]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[1, 5], [1, 2], [1, 2], [1, 5]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 5], [1, 2], [1, 5], [1, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 5], [1, 2], [1, 5], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 5], [1, 5], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 5], [1, 5], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 5], [1, 2], [1, 5], [1, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 5], [1, 5], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 5], [0, 2], [0, 5]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 5], [0, 2], [1, 5]]}, 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&#34;pos&#34;: [[0, 7], [0, 3], [0, 7]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 5], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 5], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 5], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 5], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 5], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 7], [0, 7], [0, 7], [0, 7], [0, 7]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 7], [0, 7], [0, 7], [0, 7], [0, 7]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 7], [0, 7], [0, 7], [0, 7], [0, 7]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 7], [0, 7], [0, 7], [0, 7], [0, 7]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 7], [0, 7], [0, 7], [0, 7], [0, 7]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 7], [0, 7], [0, 7], [0, 7], [0, 7]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 7], [0, 7], [0, 7], [0, 7], [0, 7]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 7], [0, 7], [0, 7], [0, 7], [0, 7]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 7], [0, 7], [0, 7], [0, 7], [0, 7]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 7], [0, 7], [0, 7], [0, 7], [0, 7]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 7], [0, 7], [0, 7], [0, 7], [0, 7]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [5, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [6, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [5, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [6, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[5, 0], [5, 0], [6, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[5, 0], [6, 0], [6, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[6, 0], [6, 0], [6, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[5, 0], [5, 0], [6, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[5, 0], [6, 0], [6, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[6, 0], [6, 0], [6, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], 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{&#34;patt&#34;: [0], &#34;pos&#34;: [[7, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [7, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [7, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[5, 0], [7, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[6, 1], [6, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[6, 1], [6, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [4, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 2], 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[0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 2]]}, {&#34;patt&#34;: [0], 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4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], 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2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 5], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 5], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], 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{&#34;patt&#34;: [0], &#34;pos&#34;: [[7, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[7, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[7, 3], [7, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 5], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 5], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[6, 2], [6, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[7, 3], [7, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 4], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [3, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 5], [3, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [6, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [4, 2], [6, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [5, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 2], [4, 2], [6, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[6, 0], [6, 0], [6, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[6, 0], [6, 2], [6, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 5], [0, 4], [0, 5]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 5], [0, 4], [3, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 5], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 5], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 5], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[7, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}, &#34;idx&#34;: 0}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, 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{&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [5, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [5, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[5, 2], [5, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [5, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [3, 2], [5, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 2], [3, 2], [5, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 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[[6, 0], [6, 0], [6, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: 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[[7, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[7, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[7, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [7, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [7, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[5, 0], [7, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[6, 1], [6, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[6, 1], [6, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [2, 2]]}, 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[[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 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&#34;pos&#34;: [[6, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[7, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[7, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[7, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[7, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [4, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 1], [4, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[6, 2], [6, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[6, 2], [6, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], 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1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[7, 0], [7, 0], [7, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [0, 3], [2, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [0, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 5], 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5]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 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[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.obstruction_inferral&#34;, &#34;strategy_class&#34;: &#34;ObstructionInferralStrategy&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}]}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: 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0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 1], [1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 1], [1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1, 3], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1, 3], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[1, 2], [1, 1], [1, 1], [1, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 2], [1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 2], [1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [0, 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{&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [1, 1], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 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0, 2, 4, 1], &#34;pos&#34;: [[0, 6], [0, 3], [0, 3], [1, 6], [1, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [1, 6]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 6], [0, 3], [0, 6], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 6], [0, 3], [0, 6], [0, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 6], [0, 3], [0, 6], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [1, 6]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [1, 6], [1, 6]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], 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{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 5], [0, 2], [0, 5]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], 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4]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 5], [1, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 4]]}, {&#34;patt&#34;: [0, 1], 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{&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}, {&#34;class_module&#34;: 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[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 5], [1, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 5], [0, 2], [0, 5]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.obstruction_inferral&#34;, &#34;strategy_class&#34;: &#34;ObstructionInferralStrategy&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 3], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 5], [3, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 5], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 5], [3, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 3], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 4], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 5], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 4], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 4], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], 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0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: 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4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: 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4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [2, 4], [3, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [0, 2], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [0, 2], [2, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [0, 2], [3, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [2, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [3, 4]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [0, 4], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [2, 4]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [3, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [2, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [3, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [2, 4], [3, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [3, 4], [3, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalenceRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [], &#34;pos&#34;: []}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: true}}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;VerificationRule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;strategy_class&#34;: &#34;BasicVerificationStrategy&#34;}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;VerificationRule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;strategy_class&#34;: &#34;BasicVerificationStrategy&#34;}}, {&#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;rule_class&#34;: &#34;OneByOneVerificationRule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;strategy_class&#34;: &#34;OneByOneVerificationStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;basis&#34;: [[0, 2, 3, 1, 4], [0, 2, 3, 4, 1], [0, 2, 4, 3, 1], [0, 3, 2, 1, 4], [0, 3, 2, 4, 1], [0, 3, 4, 2, 1], [0, 4, 2, 3, 1], [0, 4, 3, 2, 1], [3, 0, 2, 1, 4], [3, 0, 2, 4, 1], [3, 0, 4, 2, 1]], &#34;symmetry&#34;: false}}, {&#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;rule_class&#34;: &#34;OneByOneVerificationRule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;strategy_class&#34;: &#34;OneByOneVerificationStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;basis&#34;: [[0, 2, 3, 1, 4], [0, 2, 3, 4, 1], [0, 2, 4, 3, 1], [0, 3, 2, 1, 4], [0, 3, 2, 4, 1], [0, 3, 4, 2, 1], [0, 4, 2, 3, 1], [0, 4, 3, 2, 1], [3, 0, 2, 1, 4], [3, 0, 2, 4, 1], [3, 0, 4, 2, 1]], &#34;symmetry&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;VerificationRule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [], &#34;pos&#34;: []}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;strategy&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.strategy&#34;, &#34;strategy_class&#34;: &#34;EmptyStrategy&#34;}}]}<br /><br />

  Specification 2<br />
  Strategy pack name: point_placements_req_corrob<br />
  Tree: http://permpal.com/tree/25395/<br />
  System of equations in Maple syntax:<br />
  
    F[0,x] = F[1,x]+F[2,x]<br />
  
    F[1,x] = 1<br />
  
    F[2,x] = F[3,x]<br />
  
    F[3,x] = F[22,x]*F[4,x]<br />
  
    F[4,x] = F[0,x]+F[5,x]<br />
  
    F[5,x] = F[6,x]+F[7,x]<br />
  
    F[6,x] = (x^2+4*x-1)*F[6,x]^2+(4*x^2-5*x+2)*F[6,x]+4*x^2-x<br />
  
    F[7,x] = F[8,x]<br />
  
    F[8,x] = F[22,x]*F[9,x]<br />
  
    F[9,x] = F[10,x]+F[589,x]<br />
  
    F[10,x] = F[11,x]+F[66,x]<br />
  
    F[11,x] = F[12,x]+F[6,x]<br />
  
    F[12,x] = F[13,x]<br />
  
    F[13,x] = F[14,x]*F[22,x]<br />
  
    F[14,x] = F[15,x]+F[27,x]<br />
  
    F[15,x] = F[16,x]*F[22,x]<br />
  
    F[16,x] = 1/F[585,x]*F[17,x]<br />
  
    F[17,x] = -F[23,x]+F[18,x]<br />
  
    F[18,x] = F[19,x]<br />
  
    F[19,x] = F[20,x]*F[22,x]<br />
  
    F[20,x] = 1/F[22,x]*F[21,x]<br />
  
    F[21,x] = F[10,x]<br />
  
    F[22,x] = x<br />
  
    F[23,x] = F[24,x]<br />
  
    F[24,x] = F[22,x]*F[25,x]<br />
  
    F[25,x] = F[26,x]+F[579,x]<br />
  
    F[26,x] = F[27,x]+F[560,x]<br />
  
    F[27,x] = F[28,x]+F[558,x]<br />
  
    F[28,x] = F[29,x]+F[30,x]<br />
  
    F[29,x] = F[12,x]+F[2,x]<br />
  
    F[30,x] = F[31,x]<br />
  
    F[31,x] = F[22,x]*F[32,x]<br />
  
    F[32,x] = F[33,x]+F[557,x]<br />
  
    F[33,x] = F[34,x]+F[37,x]<br />
  
    F[34,x] = F[35,x]*F[4,x]<br />
  
    F[35,x] = -F[36,x]+F[16,x]<br />
  
    F[36,x] = -2+x^2+8*x+F[36,x]^2*(x^2+4*x-1)+(2*x^2-13*x+4)*F[36,x]<br />
  
    F[37,x] = F[0,x]*F[38,x]<br />
  
    F[38,x] = F[39,x]<br />
  
    F[39,x] = F[22,x]*F[40,x]<br />
  
    F[40,x] = F[41,x]<br />
  
    F[41,x] = -F[235,x]+F[42,x]<br />
  
    F[42,x] = 1/F[22,x]*F[43,x]<br />
  
    F[43,x] = F[44,x]<br />
  
    F[44,x] = F[45,x]<br />
  
    F[45,x] = F[22,x]*F[46,x]<br />
  
    F[46,x] = F[172,x]+F[47,x]<br />
  
    F[47,x] = F[48,x]+F[49,x]<br />
  
    F[48,x] = F[44,x]+F[6,x]<br />
  
    F[49,x] = F[50,x]<br />
  
    F[50,x] = F[22,x]*F[48,x]*F[51,x]<br />
  
    F[51,x] = F[52,x]+F[61,x]<br />
  
    F[52,x] = F[53,x]+F[56,x]<br />
  
    F[53,x] = F[1,x]+F[54,x]<br />
  
    F[54,x] = F[55,x]<br />
  
    F[55,x] = F[22,x]*F[53,x]<br />
  
    F[56,x] = F[57,x]<br />
  
    F[57,x] = F[22,x]*F[52,x]*F[53,x]*F[58,x]<br />
  
    F[58,x] = F[1,x]+F[59,x]<br />
  
    F[59,x] = F[60,x]<br />
  
    F[60,x] = F[22,x]*F[52,x]<br />
  
    F[61,x] = 1/F[11,x]*F[62,x]<br />
  
    F[62,x] = F[63,x]<br />
  
    F[63,x] = -F[152,x]+F[64,x]<br />
  
    F[64,x] = 1/F[22,x]*F[65,x]<br />
  
    F[65,x] = F[66,x]<br />
  
    F[66,x] = F[67,x]<br />
  
    F[67,x] = F[22,x]*F[68,x]<br />
  
    F[68,x] = F[132,x]+F[69,x]<br />
  
    F[69,x] = F[123,x]+F[70,x]<br />
  
    F[70,x] = F[71,x]<br />
  
    F[71,x] = F[22,x]*F[58,x]*F[72,x]<br />
  
    F[72,x] = F[73,x]+F[77,x]<br />
  
    F[73,x] = F[74,x]+F[76,x]<br />
  
    F[74,x] = 1/F[22,x]*F[75,x]<br />
  
    F[75,x] = F[5,x]<br />
  
    F[76,x] = F[0,x]*F[6,x]<br />
  
    F[77,x] = F[104,x]+F[78,x]<br />
  
    F[78,x] = F[79,x]<br />
  
    F[79,x] = F[22,x]*F[80,x]<br />
  
    F[80,x] = F[81,x]+F[82,x]<br />
  
    F[81,x] = F[51,x]*F[74,x]<br />
  
    F[82,x] = F[83,x]<br />
  
    F[83,x] = F[61,x]*F[84,x]<br />
  
    F[84,x] = -F[90,x]+F[85,x]<br />
  
    F[85,x] = 1/F[22,x]*F[86,x]<br />
  
    F[86,x] = F[87,x]<br />
  
    F[87,x] = F[11,x]+F[88,x]<br />
  
    F[88,x] = F[89,x]<br />
  
    F[89,x] = F[0,x]*F[22,x]*F[6,x]<br />
  
    F[90,x] = F[91,x]<br />
  
    F[91,x] = F[0,x]*F[22,x]*F[92,x]<br />
  
    F[92,x] = 1/F[0,x]*F[93,x]<br />
  
    F[93,x] = -F[99,x]+F[94,x]<br />
  
    F[94,x] = 1/F[22,x]*F[95,x]<br />
  
    F[95,x] = F[96,x]<br />
  
    F[96,x] = -F[0,x]+F[97,x]<br />
  
    F[97,x] = 1/F[22,x]*F[98,x]<br />
  
    F[98,x] = F[2,x]<br />
  
    F[99,x] = -F[103,x]+F[100,x]<br />
  
    F[100,x] = 1/F[22,x]*F[101,x]<br />
  
    F[101,x] = F[102,x]<br />
  
    F[102,x] = -F[6,x]+F[96,x]<br />
  
    F[103,x] = F[2,x]*F[92,x]<br />
  
    F[104,x] = F[0,x]*F[105,x]<br />
  
    F[105,x] = -F[6,x]+F[106,x]<br />
  
    F[106,x] = -F[58,x]+F[107,x]<br />
  
    F[107,x] = 1/F[118,x]*F[108,x]<br />
  
    F[108,x] = -F[111,x]+F[109,x]<br />
  
    F[109,x] = 1/F[22,x]*F[110,x]<br />
  
    F[110,x] = F[96,x]<br />
  
    F[111,x] = -F[114,x]+F[112,x]<br />
  
    F[112,x] = 1/F[22,x]*F[113,x]<br />
  
    F[113,x] = F[102,x]<br />
  
    F[114,x] = F[107,x]*F[115,x]<br />
  
    F[115,x] = F[116,x]<br />
  
    F[116,x] = F[117,x]*F[22,x]<br />
  
    F[117,x] = F[118,x]+F[119,x]<br />
  
    F[118,x] = F[1,x]+F[115,x]<br />
  
    F[119,x] = F[120,x]+F[54,x]<br />
  
    F[120,x] = F[121,x]<br />
  
    F[121,x] = F[122,x]*F[22,x]<br />
  
    F[122,x] = F[115,x]+F[120,x]<br />
  
    F[123,x] = F[124,x]<br />
  
    F[124,x] = F[11,x]*F[125,x]*F[58,x]<br />
  
    F[125,x] = F[126,x]+F[22,x]<br />
  
    F[126,x] = F[127,x]<br />
  
    F[127,x] = F[128,x]*F[22,x]<br />
  
    F[128,x] = F[129,x]+F[59,x]<br />
  
    F[129,x] = F[130,x]<br />
  
    F[130,x] = F[58,x]^2*F[131,x]*F[22,x]<br />
  
    F[131,x] = F[129,x]+F[58,x]<br />
  
    F[132,x] = F[133,x]<br />
  
    F[133,x] = F[134,x]+F[138,x]<br />
  
    F[134,x] = F[135,x]*F[22,x]<br />
  
    F[135,x] = F[136,x]+F[137,x]<br />
  
    F[136,x] = F[0,x]*F[36,x]<br />
  
    F[137,x] = F[5,x]*F[58,x]<br />
  
    F[138,x] = F[139,x]<br />
  
    F[139,x] = F[140,x]*F[22,x]<br />
  
    F[140,x] = F[141,x]+F[146,x]<br />
  
    F[141,x] = F[142,x]+F[144,x]<br />
  
    F[142,x] = F[0,x]*F[143,x]<br />
  
    F[143,x] = F[105,x]+F[59,x]<br />
  
    F[144,x] = F[145,x]<br />
  
    F[145,x] = F[5,x]*F[58,x]*F[59,x]<br />
  
    F[146,x] = F[147,x]<br />
  
    F[147,x] = F[148,x]*F[22,x]<br />
  
    F[148,x] = F[149,x]+F[151,x]<br />
  
    F[149,x] = F[131,x]*F[150,x]<br />
  
    F[150,x] = F[135,x]+F[141,x]<br />
  
    F[151,x] = F[146,x]*F[58,x]<br />
  
    F[152,x] = F[153,x]+F[154,x]<br />
  
    F[153,x] = F[5,x]*F[52,x]<br />
  
    F[154,x] = F[155,x]<br />
  
    F[155,x] = F[156,x]*F[22,x]<br />
  
    F[156,x] = F[157,x]+F[167,x]<br />
  
    F[157,x] = F[158,x]*F[53,x]<br />
  
    F[158,x] = F[153,x]+F[159,x]<br />
  
    F[159,x] = -F[162,x]+F[160,x]<br />
  
    F[160,x] = 1/F[22,x]*F[161,x]<br />
  
    F[161,x] = F[5,x]<br />
  
    F[162,x] = -F[165,x]+F[163,x]<br />
  
    F[163,x] = 1/F[22,x]*F[164,x]<br />
  
    F[164,x] = F[7,x]<br />
  
    F[165,x] = F[166,x]*F[2,x]<br />
  
    F[166,x] = 1/F[0,x]*F[159,x]<br />
  
    F[167,x] = F[168,x]<br />
  
    F[168,x] = F[169,x]*F[22,x]*F[53,x]<br />
  
    F[169,x] = F[170,x]+F[171,x]<br />
  
    F[170,x] = F[156,x]*F[58,x]<br />
  
    F[171,x] = F[129,x]*F[158,x]<br />
  
    F[172,x] = -F[554,x]+F[173,x]<br />
  
    F[173,x] = F[174,x]+F[553,x]<br />
  
    F[174,x] = F[175,x]+F[545,x]<br />
  
    F[175,x] = F[176,x]+F[48,x]<br />
  
    F[176,x] = F[177,x]<br />
  
    F[177,x] = F[178,x]*F[22,x]<br />
  
    F[178,x] = F[179,x]<br />
  
    F[179,x] = F[180,x]*F[22,x]<br />
  
    F[180,x] = 1/F[22,x]*F[181,x]<br />
  
    F[181,x] = F[182,x]<br />
  
    F[182,x] = -F[350,x]+F[183,x]<br />
  
    F[183,x] = 1/F[0,x]/F[22,x]*F[184,x]<br />
  
    F[184,x] = F[185,x]<br />
  
    F[185,x] = F[11,x]+F[186,x]<br />
  
    F[186,x] = F[187,x]<br />
  
    F[187,x] = F[188,x]*F[22,x]<br />
  
    F[188,x] = F[189,x]+F[192,x]<br />
  
    F[189,x] = F[185,x]+F[190,x]<br />
  
    F[190,x] = F[191,x]<br />
  
    F[191,x] = F[185,x]*F[22,x]*F[51,x]<br />
  
    F[192,x] = F[193,x]+F[195,x]<br />
  
    F[193,x] = F[185,x]+F[194,x]<br />
  
    F[194,x] = F[37,x]<br />
  
    F[195,x] = F[196,x]+F[543,x]<br />
  
    F[196,x] = F[197,x]<br />
  
    F[197,x] = F[198,x]*F[22,x]<br />
  
    F[198,x] = F[199,x]+F[541,x]<br />
  
    F[199,x] = F[200,x]+F[204,x]<br />
  
    F[200,x] = F[201,x]<br />
  
    F[201,x] = F[11,x]*F[202,x]<br />
  
    F[202,x] = 1/F[22,x]*F[203,x]<br />
  
    F[203,x] = F[61,x]<br />
  
    F[204,x] = F[205,x]+F[539,x]<br />
  
    F[205,x] = F[0,x]*F[206,x]<br />
  
    F[206,x] = -F[433,x]+F[207,x]<br />
  
    F[207,x] = F[208,x]<br />
  
    F[208,x] = -F[324,x]+F[209,x]<br />
  
    F[209,x] = 1/F[22,x]*F[210,x]<br />
  
    F[210,x] = F[211,x]<br />
  
    F[211,x] = F[212,x]+F[222,x]<br />
  
    F[212,x] = F[213,x]+F[221,x]<br />
  
    F[213,x] = F[214,x]+F[215,x]<br />
  
    F[214,x] = -F[36,x]+F[16,x]<br />
  
    F[215,x] = F[216,x]<br />
  
    F[216,x] = F[217,x]*F[22,x]<br />
  
    F[217,x] = F[211,x]+F[218,x]<br />
  
    F[218,x] = F[213,x]+F[219,x]<br />
  
    F[219,x] = F[220,x]<br />
  
    F[220,x] = F[213,x]*F[22,x]*F[51,x]<br />
  
    F[221,x] = F[38,x]<br />
  
    F[222,x] = -F[320,x]+F[223,x]<br />
  
    F[223,x] = F[224,x]+F[315,x]<br />
  
    F[224,x] = -F[309,x]+F[225,x]<br />
  
    F[225,x] = F[226,x]<br />
  
    F[226,x] = F[22,x]*F[227,x]<br />
  
    F[227,x] = F[228,x]+F[307,x]<br />
  
    F[228,x] = 1/F[22,x]/F[58,x]*F[229,x]<br />
  
    F[229,x] = F[230,x]<br />
  
    F[230,x] = -F[289,x]+F[231,x]<br />
  
    F[231,x] = F[232,x]+F[270,x]<br />
  
    F[232,x] = F[233,x]+F[253,x]<br />
  
    F[233,x] = F[107,x]+F[234,x]<br />
  
    F[234,x] = F[235,x]<br />
  
    F[235,x] = F[236,x]<br />
  
    F[236,x] = F[22,x]*F[237,x]*F[58,x]<br />
  
    F[237,x] = F[238,x]+F[239,x]<br />
  
    F[238,x] = F[107,x]*F[131,x]<br />
  
    F[239,x] = F[240,x]+F[241,x]<br />
  
    F[240,x] = -F[131,x]+F[233,x]<br />
  
    F[241,x] = F[242,x]*F[6,x]<br />
  
    F[242,x] = 1/F[22,x]*F[243,x]<br />
  
    F[243,x] = F[244,x]<br />
  
    F[244,x] = -F[126,x]+F[245,x]<br />
  
    F[245,x] = F[246,x]+F[247,x]<br />
  
    F[246,x] = F[22,x]*F[59,x]<br />
  
    F[247,x] = F[248,x]<br />
  
    F[248,x] = F[22,x]*F[249,x]*F[58,x]<br />
  
    F[249,x] = F[250,x]+F[251,x]<br />
  
    F[250,x] = F[125,x]*F[131,x]<br />
  
    F[251,x] = F[252,x]*F[58,x]<br />
  
    F[252,x] = F[125,x]+F[244,x]<br />
  
    F[253,x] = -F[258,x]+F[254,x]<br />
  
    F[254,x] = 1/F[22,x]*F[255,x]<br />
  
    F[255,x] = F[256,x]<br />
  
    F[256,x] = F[22,x]*F[257,x]<br />
  
    F[257,x] = F[258,x]+F[266,x]<br />
  
    F[258,x] = F[233,x]+F[259,x]<br />
  
    F[259,x] = F[260,x]+F[261,x]<br />
  
    F[260,x] = F[107,x]*F[22,x]<br />
  
    F[261,x] = F[262,x]<br />
  
    F[262,x] = F[22,x]*F[263,x]<br />
  
    F[263,x] = F[264,x]+F[265,x]<br />
  
    F[264,x] = F[125,x]*F[237,x]<br />
  
    F[265,x] = F[107,x]*F[252,x]*F[58,x]<br />
  
    F[266,x] = F[267,x]<br />
  
    F[267,x] = F[260,x]+F[268,x]<br />
  
    F[268,x] = F[269,x]<br />
  
    F[269,x] = F[107,x]*F[22,x]*F[249,x]<br />
  
    F[270,x] = F[271,x]<br />
  
    F[271,x] = F[22,x]*F[272,x]<br />
  
    F[272,x] = F[273,x]+F[276,x]<br />
  
    F[273,x] = F[131,x]*F[274,x]<br />
  
    F[274,x] = 1/F[22,x]*F[275,x]<br />
  
    F[275,x] = F[35,x]<br />
  
    F[276,x] = F[16,x]*F[277,x]*F[58,x]<br />
  
    F[277,x] = 1/F[4,x]*F[278,x]<br />
  
    F[278,x] = -F[283,x]+F[279,x]<br />
  
    F[279,x] = 1/F[22,x]*F[280,x]<br />
  
    F[280,x] = F[281,x]<br />
  
    F[281,x] = F[22,x]*F[282,x]<br />
  
    F[282,x] = F[283,x]+F[287,x]<br />
  
    F[283,x] = F[284,x]+F[285,x]<br />
  
    F[284,x] = F[131,x]*F[4,x]<br />
  
    F[285,x] = F[252,x]*F[286,x]<br />
  
    F[286,x] = F[0,x]+F[11,x]<br />
  
    F[287,x] = F[288,x]<br />
  
    F[288,x] = F[252,x]*F[4,x]<br />
  
    F[289,x] = F[290,x]+F[293,x]<br />
  
    F[290,x] = F[107,x]+F[291,x]<br />
  
    F[291,x] = F[292,x]<br />
  
    F[292,x] = F[22,x]*F[274,x]*F[58,x]<br />
  
    F[293,x] = -F[301,x]+F[294,x]<br />
  
    F[294,x] = 1/F[22,x]*F[295,x]<br />
  
    F[295,x] = F[296,x]<br />
  
    F[296,x] = F[214,x]+F[297,x]<br />
  
    F[297,x] = F[298,x]<br />
  
    F[298,x] = F[22,x]*F[299,x]<br />
  
    F[299,x] = F[300,x]+F[6,x]<br />
  
    F[300,x] = F[59,x]*F[6,x]<br />
  
    F[301,x] = F[290,x]+F[302,x]<br />
  
    F[302,x] = F[303,x]<br />
  
    F[303,x] = F[22,x]*F[304,x]<br />
  
    F[304,x] = F[107,x]+F[305,x]<br />
  
    F[305,x] = F[306,x]<br />
  
    F[306,x] = F[58,x]^2*F[6,x]<br />
  
    F[307,x] = F[308,x]<br />
  
    F[308,x] = F[252,x]*F[304,x]<br />
  
    F[309,x] = F[310,x]+F[311,x]<br />
  
    F[310,x] = F[214,x]*F[58,x]<br />
  
    F[311,x] = F[312,x]<br />
  
    F[312,x] = F[125,x]*F[22,x]*F[313,x]<br />
  
    F[313,x] = F[16,x]+F[314,x]<br />
  
    F[314,x] = F[306,x]<br />
  
    F[315,x] = F[316,x]<br />
  
    F[316,x] = F[317,x]<br />
  
    F[317,x] = F[22,x]*F[318,x]*F[58,x]*F[6,x]<br />
  
    F[318,x] = 1/F[22,x]/F[58,x]*F[319,x]<br />
  
    F[319,x] = F[244,x]<br />
  
    F[320,x] = F[321,x]<br />
  
    F[321,x] = -F[311,x]+F[322,x]<br />
  
    F[322,x] = F[323,x]<br />
  
    F[323,x] = F[22,x]*F[252,x]*F[313,x]<br />
  
    F[324,x] = F[325,x]+F[329,x]<br />
  
    F[325,x] = -F[536,x]+F[326,x]<br />
  
    F[326,x] = -F[415,x]+F[327,x]<br />
  
    F[327,x] = F[328,x]+F[336,x]<br />
  
    F[328,x] = -F[329,x]+F[209,x]<br />
  
    F[329,x] = F[330,x]+F[332,x]<br />
  
    F[330,x] = 1/F[22,x]*F[331,x]<br />
  
    F[331,x] = F[38,x]<br />
  
    F[332,x] = F[333,x]<br />
  
    F[333,x] = F[334,x]*F[6,x]<br />
  
    F[334,x] = 1/F[22,x]*F[335,x]<br />
  
    F[335,x] = F[244,x]<br />
  
    F[336,x] = F[337,x]<br />
  
    F[337,x] = F[22,x]*F[338,x]<br />
  
    F[338,x] = 1/F[22,x]^2*F[339,x]<br />
  
    F[339,x] = F[340,x]<br />
  
    F[340,x] = -F[412,x]+F[341,x]<br />
  
    F[341,x] = -F[408,x]+F[342,x]<br />
  
    F[342,x] = F[343,x]+F[393,x]<br />
  
    F[343,x] = -F[387,x]+F[344,x]<br />
  
    F[344,x] = F[345,x]+F[354,x]<br />
  
    F[345,x] = F[212,x]+F[346,x]<br />
  
    F[346,x] = F[347,x]<br />
  
    F[347,x] = F[22,x]^2*F[348,x]<br />
  
    F[348,x] = F[330,x]+F[349,x]<br />
  
    F[349,x] = F[350,x]+F[352,x]<br />
  
    F[350,x] = 1/F[22,x]*F[351,x]<br />
  
    F[351,x] = F[48,x]<br />
  
    F[352,x] = F[353,x]<br />
  
    F[353,x] = F[202,x]*F[6,x]<br />
  
    F[354,x] = F[355,x]+F[356,x]<br />
  
    F[355,x] = F[218,x]+F[222,x]<br />
  
    F[356,x] = F[357,x]<br />
  
    F[357,x] = F[22,x]^2*F[358,x]<br />
  
    F[358,x] = F[359,x]+F[363,x]<br />
  
    F[359,x] = 1/F[22,x]*F[360,x]<br />
  
    F[360,x] = F[361,x]<br />
  
    F[361,x] = -F[362,x]+F[46,x]<br />
  
    F[362,x] = F[38,x]+F[48,x]<br />
  
    F[363,x] = F[364,x]<br />
  
    F[364,x] = F[365,x]*F[58,x]*F[6,x]<br />
  
    F[365,x] = 1/F[22,x]/F[53,x]*F[366,x]<br />
  
    F[366,x] = F[367,x]<br />
  
    F[367,x] = F[22,x]*F[368,x]*F[52,x]*F[58,x]<br />
  
    F[368,x] = 1/F[118,x]/F[22,x]*F[369,x]<br />
  
    F[369,x] = F[370,x]<br />
  
    F[370,x] = F[22,x]*F[371,x]<br />
  
    F[371,x] = F[372,x]+F[373,x]<br />
  
    F[372,x] = F[118,x]*F[131,x]<br />
  
    F[373,x] = F[374,x]*F[58,x]<br />
  
    F[374,x] = F[22,x]+F[375,x]<br />
  
    F[375,x] = F[376,x]+F[377,x]+F[386,x]<br />
  
    F[376,x] = 0<br />
  
    F[377,x] = F[22,x]*F[378,x]<br />
  
    F[378,x] = F[374,x]+F[379,x]<br />
  
    F[379,x] = F[380,x]+F[383,x]<br />
  
    F[380,x] = F[381,x]<br />
  
    F[381,x] = F[22,x]*F[382,x]<br />
  
    F[382,x] = F[22,x]+F[380,x]<br />
  
    F[383,x] = F[384,x]<br />
  
    F[384,x] = F[22,x]*F[385,x]<br />
  
    F[385,x] = F[375,x]+F[383,x]<br />
  
    F[386,x] = F[22,x]*F[54,x]<br />
  
    F[387,x] = F[218,x]+F[388,x]<br />
  
    F[388,x] = F[389,x]<br />
  
    F[389,x] = F[22,x]*F[390,x]<br />
  
    F[390,x] = F[391,x]+F[47,x]<br />
  
    F[391,x] = F[392,x]<br />
  
    F[392,x] = F[129,x]*F[58,x]*F[6,x]<br />
  
    F[393,x] = F[394,x]<br />
  
    F[394,x] = F[22,x]*F[395,x]<br />
  
    F[395,x] = F[396,x]+F[407,x]<br />
  
    F[396,x] = -F[406,x]+F[397,x]<br />
  
    F[397,x] = -F[405,x]+F[398,x]<br />
  
    F[398,x] = 1/F[22,x]*F[399,x]<br />
  
    F[399,x] = F[400,x]<br />
  
    F[400,x] = F[22,x]*F[401,x]<br />
  
    F[401,x] = F[402,x]+F[403,x]<br />
  
    F[402,x] = F[291,x]+F[293,x]<br />
  
    F[403,x] = F[404,x]<br />
  
    F[404,x] = F[58,x]^2*F[22,x]*F[6,x]<br />
  
    F[405,x] = F[16,x]*F[22,x]*F[59,x]<br />
  
    F[406,x] = F[16,x]*F[59,x]<br />
  
    F[407,x] = F[129,x]*F[299,x]<br />
  
    F[408,x] = F[409,x]<br />
  
    F[409,x] = F[410,x]*F[411,x]<br />
  
    F[410,x] = F[316,x]+F[38,x]<br />
  
    F[411,x] = F[1,x]+F[22,x]<br />
  
    F[412,x] = -F[414,x]+F[413,x]<br />
  
    F[413,x] = F[211,x]+F[393,x]<br />
  
    F[414,x] = F[410,x]<br />
  
    F[415,x] = F[416,x]<br />
  
    F[416,x] = -F[531,x]+F[417,x]<br />
  
    F[417,x] = F[418,x]+F[521,x]<br />
  
    F[418,x] = F[419,x]+F[520,x]<br />
  
    F[419,x] = F[420,x]+F[431,x]<br />
  
    F[420,x] = F[329,x]+F[421,x]<br />
  
    F[421,x] = 1/F[22,x]*F[422,x]<br />
  
    F[422,x] = F[423,x]<br />
  
    F[423,x] = 1/F[411,x]*F[424,x]<br />
  
    F[424,x] = -F[428,x]+F[425,x]<br />
  
    F[425,x] = F[426,x]+F[430,x]<br />
  
    F[426,x] = -F[410,x]+F[427,x]<br />
  
    F[427,x] = F[172,x]+F[428,x]<br />
  
    F[428,x] = F[429,x]<br />
  
    F[429,x] = F[22,x]*F[396,x]<br />
  
    F[430,x] = F[22,x]*F[423,x]<br />
  
    F[431,x] = F[432,x]<br />
  
    F[432,x] = F[182,x]+F[433,x]<br />
  
    F[433,x] = F[434,x]<br />
  
    F[434,x] = F[435,x]*F[6,x]<br />
  
    F[435,x] = 1/F[118,x]/F[53,x]*F[436,x]<br />
  
    F[436,x] = F[437,x]<br />
  
    F[437,x] = -F[509,x]+F[438,x]<br />
  
    F[438,x] = 1/F[22,x]*F[439,x]<br />
  
    F[439,x] = F[440,x]<br />
  
    F[440,x] = -F[491,x]+F[441,x]<br />
  
    F[441,x] = 1/F[22,x]*F[442,x]<br />
  
    F[442,x] = F[443,x]<br />
  
    F[443,x] = -F[490,x]+F[444,x]<br />
  
    F[444,x] = -F[464,x]+F[445,x]<br />
  
    F[445,x] = 1/F[22,x]*F[446,x]<br />
  
    F[446,x] = F[447,x]<br />
  
    F[447,x] = -F[2,x]+F[448,x]<br />
  
    F[448,x] = -F[451,x]+F[449,x]<br />
  
    F[449,x] = 1/F[22,x]*F[450,x]<br />
  
    F[450,x] = F[2,x]<br />
  
    F[451,x] = F[1,x]+F[452,x]<br />
  
    F[452,x] = F[453,x]<br />
  
    F[453,x] = F[22,x]*F[454,x]<br />
  
    F[454,x] = F[451,x]+F[455,x]<br />
  
    F[455,x] = F[115,x]+F[456,x]<br />
  
    F[456,x] = F[376,x]+F[457,x]+F[460,x]<br />
  
    F[457,x] = F[22,x]*F[458,x]<br />
  
    F[458,x] = F[459,x]<br />
  
    F[459,x] = F[452,x]+F[456,x]<br />
  
    F[460,x] = F[22,x]*F[461,x]<br />
  
    F[461,x] = F[462,x]+F[463,x]<br />
  
    F[462,x] = F[54,x]<br />
  
    F[463,x] = F[120,x]<br />
  
    F[464,x] = -F[468,x]+F[465,x]<br />
  
    F[465,x] = 1/F[22,x]*F[466,x]<br />
  
    F[466,x] = F[467,x]<br />
  
    F[467,x] = F[447,x]+F[452,x]<br />
  
    F[468,x] = F[469,x]+F[470,x]<br />
  
    F[469,x] = F[451,x]*F[58,x]<br />
  
    F[470,x] = F[471,x]<br />
  
    F[471,x] = F[22,x]*F[472,x]<br />
  
    F[472,x] = F[473,x]+F[489,x]<br />
  
    F[473,x] = F[474,x]+F[475,x]<br />
  
    F[474,x] = F[131,x]*F[454,x]<br />
  
    F[475,x] = F[476,x]<br />
  
    F[476,x] = -F[481,x]+F[477,x]<br />
  
    F[477,x] = 1/F[22,x]*F[478,x]<br />
  
    F[478,x] = F[479,x]<br />
  
    F[479,x] = F[22,x]*F[480,x]<br />
  
    F[480,x] = F[481,x]+F[487,x]<br />
  
    F[481,x] = F[482,x]+F[485,x]<br />
  
    F[482,x] = F[131,x]*F[483,x]<br />
  
    F[483,x] = F[454,x]+F[484,x]<br />
  
    F[484,x] = F[118,x]*F[54,x]<br />
  
    F[485,x] = F[486,x]<br />
  
    F[486,x] = F[118,x]*F[277,x]*F[53,x]<br />
  
    F[487,x] = F[488,x]<br />
  
    F[488,x] = F[118,x]*F[252,x]*F[53,x]<br />
  
    F[489,x] = F[486,x]<br />
  
    F[490,x] = F[451,x]*F[59,x]<br />
  
    F[491,x] = F[492,x]<br />
  
    F[492,x] = F[22,x]*F[493,x]<br />
  
    F[493,x] = F[494,x]+F[507,x]<br />
  
    F[494,x] = F[495,x]+F[505,x]<br />
  
    F[495,x] = F[496,x]*F[52,x]<br />
  
    F[496,x] = F[497,x]+F[503,x]<br />
  
    F[497,x] = F[454,x]+F[498,x]<br />
  
    F[498,x] = F[22,x]+F[499,x]<br />
  
    F[499,x] = F[376,x]+F[500,x]+F[501,x]<br />
  
    F[500,x] = F[115,x]*F[22,x]<br />
  
    F[501,x] = F[22,x]*F[502,x]<br />
  
    F[502,x] = F[498,x]<br />
  
    F[503,x] = F[504,x]<br />
  
    F[504,x] = F[118,x]*F[22,x]*F[53,x]<br />
  
    F[505,x] = F[506,x]<br />
  
    F[506,x] = F[118,x]*F[53,x]*F[61,x]<br />
  
    F[507,x] = F[508,x]<br />
  
    F[508,x] = F[118,x]*F[202,x]*F[22,x]*F[53,x]<br />
  
    F[509,x] = F[510,x]+F[511,x]<br />
  
    F[510,x] = F[202,x]*F[454,x]<br />
  
    F[511,x] = F[512,x]<br />
  
    F[512,x] = -F[515,x]+F[513,x]<br />
  
    F[513,x] = 1/F[22,x]*F[514,x]<br />
  
    F[514,x] = F[440,x]<br />
  
    F[515,x] = -F[518,x]+F[516,x]<br />
  
    F[516,x] = 1/F[22,x]*F[517,x]<br />
  
    F[517,x] = F[440,x]<br />
  
    F[518,x] = F[519,x]<br />
  
    F[519,x] = F[118,x]*F[334,x]*F[53,x]<br />
  
    F[520,x] = F[22,x]*F[420,x]<br />
  
    F[521,x] = F[522,x]<br />
  
    F[522,x] = F[22,x]*F[523,x]<br />
  
    F[523,x] = 1/F[22,x]*F[524,x]<br />
  
    F[524,x] = F[525,x]<br />
  
    F[525,x] = -F[528,x]+F[526,x]<br />
  
    F[526,x] = 1/F[22,x]*F[527,x]<br />
  
    F[527,x] = F[296,x]<br />
  
    F[528,x] = F[411,x]*F[529,x]<br />
  
    F[529,x] = F[166,x]+F[530,x]<br />
  
    F[530,x] = F[52,x]*F[6,x]<br />
  
    F[531,x] = F[432,x]+F[532,x]<br />
  
    F[532,x] = F[533,x]+F[535,x]<br />
  
    F[533,x] = F[521,x]+F[534,x]<br />
  
    F[534,x] = F[349,x]*F[411,x]<br />
  
    F[535,x] = F[329,x]*F[411,x]<br />
  
    F[536,x] = F[537,x]<br />
  
    F[537,x] = F[22,x]*F[538,x]<br />
  
    F[538,x] = -F[207,x]+F[338,x]<br />
  
    F[539,x] = F[540,x]<br />
  
    F[540,x] = F[11,x]*F[435,x]<br />
  
    F[541,x] = F[542,x]<br />
  
    F[542,x] = F[0,x]*F[435,x]*F[6,x]<br />
  
    F[543,x] = F[544,x]<br />
  
    F[544,x] = F[11,x]*F[22,x]*F[318,x]*F[58,x]<br />
  
    F[545,x] = -F[551,x]+F[546,x]<br />
  
    F[546,x] = F[547,x]+F[549,x]<br />
  
    F[547,x] = F[548,x]<br />
  
    F[548,x] = F[22,x]*F[237,x]<br />
  
    F[549,x] = F[550,x]<br />
  
    F[550,x] = F[252,x]*F[6,x]<br />
  
    F[551,x] = F[552,x]*F[6,x]<br />
  
    F[552,x] = F[125,x]+F[58,x]<br />
  
    F[553,x] = F[410,x]<br />
  
    F[554,x] = F[555,x]<br />
  
    F[555,x] = F[176,x]+F[556,x]<br />
  
    F[556,x] = F[244,x]*F[6,x]<br />
  
    F[557,x] = F[0,x]*F[361,x]<br />
  
    F[558,x] = F[559,x]<br />
  
    F[559,x] = F[16,x]*F[2,x]*F[22,x]<br />
  
    F[560,x] = F[561,x]+F[577,x]<br />
  
    F[561,x] = F[562,x]+F[563,x]<br />
  
    F[562,x] = F[5,x]+F[66,x]<br />
  
    F[563,x] = F[564,x]<br />
  
    F[564,x] = F[22,x]*F[565,x]<br />
  
    F[565,x] = F[566,x]+F[575,x]<br />
  
    F[566,x] = F[567,x]+F[569,x]<br />
  
    F[567,x] = F[568,x]<br />
  
    F[568,x] = F[561,x]*F[58,x]<br />
  
    F[569,x] = F[570,x]<br />
  
    F[570,x] = F[125,x]*F[571,x]<br />
  
    F[571,x] = F[572,x]+F[573,x]<br />
  
    F[572,x] = F[0,x]*F[16,x]<br />
  
    F[573,x] = F[574,x]<br />
  
    F[574,x] = F[58,x]^2*F[5,x]<br />
  
    F[575,x] = F[576,x]<br />
  
    F[576,x] = F[58,x]^2*F[11,x]*F[125,x]<br />
  
    F[577,x] = F[578,x]<br />
  
    F[578,x] = F[58,x]^2*F[22,x]*F[5,x]<br />
  
    F[579,x] = F[580,x]<br />
  
    F[580,x] = F[22,x]*F[581,x]<br />
  
    F[581,x] = F[582,x]+F[583,x]<br />
  
    F[582,x] = F[16,x]*F[2,x]<br />
  
    F[583,x] = F[584,x]<br />
  
    F[584,x] = F[58,x]^2*F[11,x]<br />
  
    F[585,x] = F[586,x]<br />
  
    F[586,x] = F[22,x]*F[587,x]<br />
  
    F[587,x] = F[411,x]+F[588,x]<br />
  
    F[588,x] = F[22,x]<br />
  
    F[589,x] = F[590,x]<br />
  
    F[590,x] = F[22,x]*F[591,x]<br />
  
    F[591,x] = F[592,x]+F[602,x]<br />
  
    F[592,x] = F[593,x]+F[595,x]<br />
  
    F[593,x] = F[589,x]+F[594,x]<br />
  
    F[594,x] = F[10,x]+F[4,x]<br />
  
    F[595,x] = -F[599,x]+F[596,x]<br />
  
    F[596,x] = 1/F[22,x]*F[597,x]<br />
  
    F[597,x] = F[598,x]<br />
  
    F[598,x] = -F[214,x]+F[10,x]<br />
  
    F[599,x] = F[600,x]+F[601,x]<br />
  
    F[600,x] = F[0,x]*F[48,x]<br />
  
    F[601,x] = F[11,x]*F[129,x]<br />
  
    F[602,x] = F[603,x]+F[607,x]<br />
  
    F[603,x] = F[604,x]+F[606,x]<br />
  
    F[604,x] = -F[605,x]+F[9,x]<br />
  
    F[605,x] = F[4,x]*F[6,x]<br />
  
    F[606,x] = F[37,x]<br />
  
    F[607,x] = -F[606,x]+F[608,x]<br />
  
    F[608,x] = F[609,x]+F[699,x]<br />
  
    F[609,x] = -F[698,x]+F[610,x]<br />
  
    F[610,x] = F[611,x]<br />
  
    F[611,x] = F[22,x]*F[612,x]<br />
  
    F[612,x] = F[613,x]+F[695,x]<br />
  
    F[613,x] = 1/F[22,x]/F[58,x]*F[614,x]<br />
  
    F[614,x] = F[615,x]<br />
  
    F[615,x] = -F[691,x]+F[616,x]<br />
  
    F[616,x] = -F[648,x]+F[617,x]<br />
  
    F[617,x] = F[618,x]+F[643,x]<br />
  
    F[618,x] = F[619,x]+F[637,x]<br />
  
    F[619,x] = F[620,x]+F[625,x]<br />
  
    F[620,x] = -F[623,x]+F[621,x]<br />
  
    F[621,x] = 1/F[22,x]*F[622,x]<br />
  
    F[622,x] = F[87,x]<br />
  
    F[623,x] = F[624,x]<br />
  
    F[624,x] = F[0,x]*F[107,x]*F[22,x]<br />
  
    F[625,x] = F[626,x]<br />
  
    F[626,x] = F[22,x]*F[58,x]*F[627,x]<br />
  
    F[627,x] = -F[635,x]+F[628,x]<br />
  
    F[628,x] = 1/F[22,x]*F[629,x]<br />
  
    F[629,x] = F[630,x]<br />
  
    F[630,x] = F[631,x]+F[633,x]<br />
  
    F[631,x] = F[196,x]+F[632,x]<br />
  
    F[632,x] = F[11,x]*F[58,x]<br />
  
    F[633,x] = F[634,x]<br />
  
    F[634,x] = F[0,x]*F[16,x]*F[22,x]*F[252,x]<br />
  
    F[635,x] = F[636,x]<br />
  
    F[636,x] = F[0,x]*F[107,x]*F[252,x]<br />
  
    F[637,x] = F[638,x]<br />
  
    F[638,x] = F[22,x]*F[639,x]<br />
  
    F[639,x] = F[640,x]+F[641,x]<br />
  
    F[640,x] = F[131,x]*F[72,x]<br />
  
    F[641,x] = F[642,x]<br />
  
    F[642,x] = F[277,x]*F[58,x]*F[84,x]<br />
  
    F[643,x] = F[644,x]<br />
  
    F[644,x] = F[645,x]+F[646,x]<br />
  
    F[645,x] = F[0,x]*F[253,x]<br />
  
    F[646,x] = F[647,x]<br />
  
    F[647,x] = F[277,x]*F[5,x]*F[58,x]<br />
  
    F[648,x] = F[649,x]<br />
  
    F[649,x] = F[650,x]+F[658,x]<br />
  
    F[650,x] = F[651,x]+F[657,x]<br />
  
    F[651,x] = F[0,x]*F[652,x]<br />
  
    F[652,x] = F[653,x]+F[654,x]<br />
  
    F[653,x] = F[22,x]*F[36,x]<br />
  
    F[654,x] = F[655,x]<br />
  
    F[655,x] = F[22,x]*F[656,x]<br />
  
    F[656,x] = F[143,x]+F[234,x]<br />
  
    F[657,x] = F[124,x]<br />
  
    F[658,x] = -F[687,x]+F[659,x]<br />
  
    F[659,x] = F[660,x]<br />
  
    F[660,x] = -F[674,x]+F[661,x]<br />
  
    F[661,x] = 1/F[22,x]*F[662,x]<br />
  
    F[662,x] = F[663,x]<br />
  
    F[663,x] = -F[666,x]+F[664,x]<br />
  
    F[664,x] = F[665,x]<br />
  
    F[665,x] = F[22,x]*F[617,x]<br />
  
    F[666,x] = F[667,x]<br />
  
    F[667,x] = F[22,x]*F[668,x]<br />
  
    F[668,x] = F[669,x]+F[671,x]<br />
  
    F[669,x] = F[594,x]+F[670,x]<br />
  
    F[670,x] = F[134,x]<br />
  
    F[671,x] = F[672,x]<br />
  
    F[672,x] = F[22,x]*F[673,x]<br />
  
    F[673,x] = F[136,x]+F[632,x]<br />
  
    F[674,x] = -F[677,x]+F[675,x]<br />
  
    F[675,x] = 1/F[22,x]*F[676,x]<br />
  
    F[676,x] = F[663,x]<br />
  
    F[677,x] = F[678,x]<br />
  
    F[678,x] = F[679,x]+F[683,x]<br />
  
    F[679,x] = F[22,x]*F[680,x]<br />
  
    F[680,x] = F[142,x]+F[681,x]<br />
  
    F[681,x] = F[682,x]<br />
  
    F[682,x] = F[11,x]*F[58,x]*F[59,x]<br />
  
    F[683,x] = F[684,x]+F[685,x]<br />
  
    F[684,x] = F[0,x]*F[261,x]<br />
  
    F[685,x] = F[686,x]<br />
  
    F[686,x] = F[11,x]*F[247,x]*F[58,x]<br />
  
    F[687,x] = F[688,x]+F[689,x]<br />
  
    F[688,x] = F[0,x]*F[654,x]<br />
  
    F[689,x] = F[690,x]<br />
  
    F[690,x] = F[11,x]*F[126,x]*F[58,x]<br />
  
    F[691,x] = -F[694,x]+F[692,x]<br />
  
    F[692,x] = F[132,x]+F[693,x]<br />
  
    F[693,x] = F[620,x]+F[69,x]<br />
  
    F[694,x] = F[650,x]<br />
  
    F[695,x] = F[696,x]<br />
  
    F[696,x] = 1/F[22,x]/F[58,x]*F[697,x]<br />
  
    F[697,x] = F[658,x]<br />
  
    F[698,x] = F[10,x]*F[58,x]<br />
  
    F[699,x] = F[700,x]<br />
  
    F[700,x] = F[194,x]+F[543,x]<br />
  
  System of equations in latex syntax:<br />
  
    F_{0}\! \left(x \right) = F_{1}\! \left(x \right)+F_{2}\! \left(x \right)<br />
  
    F_{1}\! \left(x \right) = 1<br />
  
    F_{2}\! \left(x \right) = F_{3}\! \left(x \right)<br />
  
    F_{3}\! \left(x \right) = F_{22}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{4}\! \left(x \right) = F_{0}\! \left(x \right)+F_{5}\! \left(x \right)<br />
  
    F_{5}\! \left(x \right) = F_{6}\! \left(x \right)+F_{7}\! \left(x \right)<br />
  
    F_{6}\! \left(x \right) = x^{2} F_{6} \left(x \right)^{2}+4 x^{2} F_{6}\! \left(x \right)+4 x F_{6} \left(x \right)^{2}+4 x^{2}-5 x F_{6}\! \left(x \right)-F_{6} \left(x \right)^{2}-x +2 F_{6}\! \left(x \right)<br />
  
    F_{7}\! \left(x \right) = F_{8}\! \left(x \right)<br />
  
    F_{8}\! \left(x \right) = F_{22}\! \left(x \right) F_{9}\! \left(x \right)<br />
  
    F_{9}\! \left(x \right) = F_{10}\! \left(x \right)+F_{589}\! \left(x \right)<br />
  
    F_{10}\! \left(x \right) = F_{11}\! \left(x \right)+F_{66}\! \left(x \right)<br />
  
    F_{11}\! \left(x \right) = F_{12}\! \left(x \right)+F_{6}\! \left(x \right)<br />
  
    F_{12}\! \left(x \right) = F_{13}\! \left(x \right)<br />
  
    F_{13}\! \left(x \right) = F_{14}\! \left(x \right) F_{22}\! \left(x \right)<br />
  
    F_{14}\! \left(x \right) = F_{15}\! \left(x \right)+F_{27}\! \left(x \right)<br />
  
    F_{15}\! \left(x \right) = F_{16}\! \left(x \right) F_{22}\! \left(x \right)<br />
  
    F_{16}\! \left(x \right) = \frac{F_{17}\! \left(x \right)}{F_{585}\! \left(x \right)}<br />
  
    F_{17}\! \left(x \right) = -F_{23}\! \left(x \right)+F_{18}\! \left(x \right)<br />
  
    F_{18}\! \left(x \right) = F_{19}\! \left(x \right)<br />
  
    F_{19}\! \left(x \right) = F_{20}\! \left(x \right) F_{22}\! \left(x \right)<br />
  
    F_{20}\! \left(x \right) = \frac{F_{21}\! \left(x \right)}{F_{22}\! \left(x \right)}<br />
  
    F_{21}\! \left(x \right) = F_{10}\! \left(x \right)<br />
  
    F_{22}\! \left(x \right) = x<br />
  
    F_{23}\! \left(x \right) = F_{24}\! \left(x \right)<br />
  
    F_{24}\! \left(x \right) = F_{22}\! \left(x \right) F_{25}\! \left(x \right)<br />
  
    F_{25}\! \left(x \right) = F_{26}\! \left(x \right)+F_{579}\! \left(x \right)<br />
  
    F_{26}\! \left(x \right) = F_{27}\! \left(x \right)+F_{560}\! \left(x \right)<br />
  
    F_{27}\! \left(x \right) = F_{28}\! \left(x \right)+F_{558}\! \left(x \right)<br />
  
    F_{28}\! \left(x \right) = F_{29}\! \left(x \right)+F_{30}\! \left(x \right)<br />
  
    F_{29}\! \left(x \right) = F_{12}\! \left(x \right)+F_{2}\! \left(x \right)<br />
  
    F_{30}\! \left(x \right) = F_{31}\! \left(x \right)<br />
  
    F_{31}\! \left(x \right) = F_{22}\! \left(x \right) F_{32}\! \left(x \right)<br />
  
    F_{32}\! \left(x \right) = F_{33}\! \left(x \right)+F_{557}\! \left(x \right)<br />
  
    F_{33}\! \left(x \right) = F_{34}\! \left(x \right)+F_{37}\! \left(x \right)<br />
  
    F_{34}\! \left(x \right) = F_{35}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{35}\! \left(x \right) = -F_{36}\! \left(x \right)+F_{16}\! \left(x \right)<br />
  
    F_{36}\! \left(x \right) = x^{2} F_{36} \left(x \right)^{2}+2 x^{2} F_{36}\! \left(x \right)+4 x F_{36} \left(x \right)^{2}+x^{2}-13 x F_{36}\! \left(x \right)-F_{36} \left(x \right)^{2}+8 x +4 F_{36}\! \left(x \right)-2<br />
  
    F_{37}\! \left(x \right) = F_{0}\! \left(x \right) F_{38}\! \left(x \right)<br />
  
    F_{38}\! \left(x \right) = F_{39}\! \left(x \right)<br />
  
    F_{39}\! \left(x \right) = F_{22}\! \left(x \right) F_{40}\! \left(x \right)<br />
  
    F_{40}\! \left(x \right) = F_{41}\! \left(x \right)<br />
  
    F_{41}\! \left(x \right) = -F_{235}\! \left(x \right)+F_{42}\! \left(x \right)<br />
  
    F_{42}\! \left(x \right) = \frac{F_{43}\! \left(x \right)}{F_{22}\! \left(x \right)}<br />
  
    F_{43}\! \left(x \right) = F_{44}\! \left(x \right)<br />
  
    F_{44}\! \left(x \right) = F_{45}\! \left(x \right)<br />
  
    F_{45}\! \left(x \right) = F_{22}\! \left(x \right) F_{46}\! \left(x \right)<br />
  
    F_{46}\! \left(x \right) = F_{172}\! \left(x \right)+F_{47}\! \left(x \right)<br />
  
    F_{47}\! \left(x \right) = F_{48}\! \left(x \right)+F_{49}\! \left(x \right)<br />
  
    F_{48}\! \left(x \right) = F_{44}\! \left(x \right)+F_{6}\! \left(x \right)<br />
  
    F_{49}\! \left(x \right) = F_{50}\! \left(x \right)<br />
  
    F_{50}\! \left(x \right) = F_{22}\! \left(x \right) F_{48}\! \left(x \right) F_{51}\! \left(x \right)<br />
  
    F_{51}\! \left(x \right) = F_{52}\! \left(x \right)+F_{61}\! \left(x \right)<br />
  
    F_{52}\! \left(x \right) = F_{53}\! \left(x \right)+F_{56}\! \left(x \right)<br />
  
    F_{53}\! \left(x \right) = F_{1}\! \left(x \right)+F_{54}\! \left(x \right)<br />
  
    F_{54}\! \left(x \right) = F_{55}\! \left(x \right)<br />
  
    F_{55}\! \left(x \right) = F_{22}\! \left(x \right) F_{53}\! \left(x \right)<br />
  
    F_{56}\! \left(x \right) = F_{57}\! \left(x \right)<br />
  
    F_{57}\! \left(x \right) = F_{22}\! \left(x \right) F_{52}\! \left(x \right) F_{53}\! \left(x \right) F_{58}\! \left(x \right)<br />
  
    F_{58}\! \left(x \right) = F_{1}\! \left(x \right)+F_{59}\! \left(x \right)<br />
  
    F_{59}\! \left(x \right) = F_{60}\! \left(x \right)<br />
  
    F_{60}\! \left(x \right) = F_{22}\! \left(x \right) F_{52}\! \left(x \right)<br />
  
    F_{61}\! \left(x \right) = \frac{F_{62}\! \left(x \right)}{F_{11}\! \left(x \right)}<br />
  
    F_{62}\! \left(x \right) = F_{63}\! \left(x \right)<br />
  
    F_{63}\! \left(x \right) = -F_{152}\! \left(x \right)+F_{64}\! \left(x \right)<br />
  
    F_{64}\! \left(x \right) = \frac{F_{65}\! \left(x \right)}{F_{22}\! \left(x \right)}<br />
  
    F_{65}\! \left(x \right) = F_{66}\! \left(x \right)<br />
  
    F_{66}\! \left(x \right) = F_{67}\! \left(x \right)<br />
  
    F_{67}\! \left(x \right) = F_{22}\! \left(x \right) F_{68}\! \left(x \right)<br />
  
    F_{68}\! \left(x \right) = F_{132}\! \left(x \right)+F_{69}\! \left(x \right)<br />
  
    F_{69}\! \left(x \right) = F_{123}\! \left(x \right)+F_{70}\! \left(x \right)<br />
  
    F_{70}\! \left(x \right) = F_{71}\! \left(x \right)<br />
  
    F_{71}\! \left(x \right) = F_{22}\! \left(x \right) F_{58}\! \left(x \right) F_{72}\! \left(x \right)<br />
  
    F_{72}\! \left(x \right) = F_{73}\! \left(x \right)+F_{77}\! \left(x \right)<br />
  
    F_{73}\! \left(x \right) = F_{74}\! \left(x \right)+F_{76}\! \left(x \right)<br />
  
    F_{74}\! \left(x \right) = \frac{F_{75}\! \left(x \right)}{F_{22}\! \left(x \right)}<br />
  
    F_{75}\! \left(x \right) = F_{5}\! \left(x \right)<br />
  
    F_{76}\! \left(x \right) = F_{0}\! \left(x \right) F_{6}\! \left(x \right)<br />
  
    F_{77}\! \left(x \right) = F_{104}\! \left(x \right)+F_{78}\! \left(x \right)<br />
  
    F_{78}\! \left(x \right) = F_{79}\! \left(x \right)<br />
  
    F_{79}\! \left(x \right) = F_{22}\! \left(x \right) F_{80}\! \left(x \right)<br />
  
    F_{80}\! \left(x \right) = F_{81}\! \left(x \right)+F_{82}\! \left(x \right)<br />
  
    F_{81}\! \left(x \right) = F_{51}\! \left(x \right) F_{74}\! \left(x \right)<br />
  
    F_{82}\! \left(x \right) = F_{83}\! \left(x \right)<br />
  
    F_{83}\! \left(x \right) = F_{61}\! \left(x \right) F_{84}\! \left(x \right)<br />
  
    F_{84}\! \left(x \right) = -F_{90}\! \left(x \right)+F_{85}\! \left(x \right)<br />
  
    F_{85}\! \left(x \right) = \frac{F_{86}\! \left(x \right)}{F_{22}\! \left(x \right)}<br />
  
    F_{86}\! \left(x \right) = F_{87}\! \left(x \right)<br />
  
    F_{87}\! \left(x \right) = F_{11}\! \left(x \right)+F_{88}\! \left(x \right)<br />
  
    F_{88}\! \left(x \right) = F_{89}\! \left(x \right)<br />
  
    F_{89}\! \left(x \right) = F_{0}\! \left(x \right) F_{22}\! \left(x \right) F_{6}\! \left(x \right)<br />
  
    F_{90}\! \left(x \right) = F_{91}\! \left(x \right)<br />
  
    F_{91}\! \left(x \right) = F_{0}\! \left(x \right) F_{22}\! \left(x \right) F_{92}\! \left(x \right)<br />
  
    F_{92}\! \left(x \right) = \frac{F_{93}\! \left(x \right)}{F_{0}\! \left(x \right)}<br />
  
    F_{93}\! \left(x \right) = -F_{99}\! \left(x \right)+F_{94}\! \left(x \right)<br />
  
    F_{94}\! \left(x \right) = \frac{F_{95}\! \left(x \right)}{F_{22}\! \left(x \right)}<br />
  
    F_{95}\! \left(x \right) = F_{96}\! \left(x \right)<br />
  
    F_{96}\! \left(x \right) = -F_{0}\! \left(x \right)+F_{97}\! \left(x \right)<br />
  
    F_{97}\! \left(x \right) = \frac{F_{98}\! \left(x \right)}{F_{22}\! \left(x \right)}<br />
  
    F_{98}\! \left(x \right) = F_{2}\! \left(x \right)<br />
  
    F_{99}\! \left(x \right) = -F_{103}\! \left(x \right)+F_{100}\! \left(x \right)<br />
  
    F_{100}\! \left(x \right) = \frac{F_{101}\! \left(x \right)}{F_{22}\! \left(x \right)}<br />
  
    F_{101}\! \left(x \right) = F_{102}\! \left(x \right)<br />
  
    F_{102}\! \left(x \right) = -F_{6}\! \left(x \right)+F_{96}\! \left(x \right)<br />
  
    F_{103}\! \left(x \right) = F_{2}\! \left(x \right) F_{92}\! \left(x \right)<br />
  
    F_{104}\! \left(x \right) = F_{0}\! \left(x \right) F_{105}\! \left(x \right)<br />
  
    F_{105}\! \left(x \right) = -F_{6}\! \left(x \right)+F_{106}\! \left(x \right)<br />
  
    F_{106}\! \left(x \right) = -F_{58}\! \left(x \right)+F_{107}\! \left(x \right)<br />
  
    F_{107}\! \left(x \right) = \frac{F_{108}\! \left(x \right)}{F_{118}\! \left(x \right)}<br />
  
    F_{108}\! \left(x \right) = -F_{111}\! \left(x \right)+F_{109}\! \left(x \right)<br />
  
    F_{109}\! \left(x \right) = \frac{F_{110}\! \left(x \right)}{F_{22}\! \left(x \right)}<br />
  
    F_{110}\! \left(x \right) = F_{96}\! \left(x \right)<br />
  
    F_{111}\! \left(x \right) = -F_{114}\! \left(x \right)+F_{112}\! \left(x \right)<br />
  
    F_{112}\! \left(x \right) = \frac{F_{113}\! \left(x \right)}{F_{22}\! \left(x \right)}<br />
  
    F_{113}\! \left(x \right) = F_{102}\! \left(x \right)<br />
  
    F_{114}\! \left(x \right) = F_{107}\! \left(x \right) F_{115}\! \left(x \right)<br />
  
    F_{115}\! \left(x \right) = F_{116}\! \left(x \right)<br />
  
    F_{116}\! \left(x \right) = F_{117}\! \left(x \right) F_{22}\! \left(x \right)<br />
  
    F_{117}\! \left(x \right) = F_{118}\! \left(x \right)+F_{119}\! \left(x \right)<br />
  
    F_{118}\! \left(x \right) = F_{1}\! \left(x \right)+F_{115}\! \left(x \right)<br />
  
    F_{119}\! \left(x \right) = F_{120}\! \left(x \right)+F_{54}\! \left(x \right)<br />
  
    F_{120}\! \left(x \right) = F_{121}\! \left(x \right)<br />
  
    F_{121}\! \left(x \right) = F_{122}\! \left(x \right) F_{22}\! \left(x \right)<br />
  
    F_{122}\! \left(x \right) = F_{115}\! \left(x \right)+F_{120}\! \left(x \right)<br />
  
    F_{123}\! \left(x \right) = F_{124}\! \left(x \right)<br />
  
    F_{124}\! \left(x \right) = F_{11}\! \left(x \right) F_{125}\! \left(x \right) F_{58}\! \left(x \right)<br />
  
    F_{125}\! \left(x \right) = F_{126}\! \left(x \right)+F_{22}\! \left(x \right)<br />
  
    F_{126}\! \left(x \right) = F_{127}\! \left(x \right)<br />
  
    F_{127}\! \left(x \right) = F_{128}\! \left(x \right) F_{22}\! \left(x \right)<br />
  
    F_{128}\! \left(x \right) = F_{129}\! \left(x \right)+F_{59}\! \left(x \right)<br />
  
    F_{129}\! \left(x \right) = F_{130}\! \left(x \right)<br />
  
    F_{130}\! \left(x \right) = F_{58} \left(x \right)^{2} F_{131}\! \left(x \right) F_{22}\! \left(x \right)<br />
  
    F_{131}\! \left(x \right) = F_{129}\! \left(x \right)+F_{58}\! \left(x \right)<br />
  
    F_{132}\! \left(x \right) = F_{133}\! \left(x \right)<br />
  
    F_{133}\! \left(x \right) = F_{134}\! \left(x \right)+F_{138}\! \left(x \right)<br />
  
    F_{134}\! \left(x \right) = F_{135}\! \left(x \right) F_{22}\! \left(x \right)<br />
  
    F_{135}\! \left(x \right) = F_{136}\! \left(x \right)+F_{137}\! \left(x \right)<br />
  
    F_{136}\! \left(x \right) = F_{0}\! \left(x \right) F_{36}\! \left(x \right)<br />
  
    F_{137}\! \left(x \right) = F_{5}\! \left(x \right) F_{58}\! \left(x \right)<br />
  
    F_{138}\! \left(x \right) = F_{139}\! \left(x \right)<br />
  
    F_{139}\! \left(x \right) = F_{140}\! \left(x \right) F_{22}\! \left(x \right)<br />
  
    F_{140}\! \left(x \right) = F_{141}\! \left(x \right)+F_{146}\! \left(x \right)<br />
  
    F_{141}\! \left(x \right) = F_{142}\! \left(x \right)+F_{144}\! \left(x \right)<br />
  
    F_{142}\! \left(x \right) = F_{0}\! \left(x \right) F_{143}\! \left(x \right)<br />
  
    F_{143}\! \left(x \right) = F_{105}\! \left(x \right)+F_{59}\! \left(x \right)<br />
  
    F_{144}\! \left(x \right) = F_{145}\! \left(x \right)<br />
  
    F_{145}\! \left(x \right) = F_{5}\! \left(x \right) F_{58}\! \left(x \right) F_{59}\! \left(x \right)<br />
  
    F_{146}\! \left(x \right) = F_{147}\! \left(x \right)<br />
  
    F_{147}\! \left(x \right) = F_{148}\! \left(x \right) F_{22}\! \left(x \right)<br />
  
    F_{148}\! \left(x \right) = F_{149}\! \left(x \right)+F_{151}\! \left(x \right)<br />
  
    F_{149}\! \left(x \right) = F_{131}\! \left(x \right) F_{150}\! \left(x \right)<br />
  
    F_{150}\! \left(x \right) = F_{135}\! \left(x \right)+F_{141}\! \left(x \right)<br />
  
    F_{151}\! \left(x \right) = F_{146}\! \left(x \right) F_{58}\! \left(x \right)<br />
  
    F_{152}\! \left(x \right) = F_{153}\! \left(x \right)+F_{154}\! \left(x \right)<br />
  
    F_{153}\! \left(x \right) = F_{5}\! \left(x \right) F_{52}\! \left(x \right)<br />
  
    F_{154}\! \left(x \right) = F_{155}\! \left(x \right)<br />
  
    F_{155}\! \left(x \right) = F_{156}\! \left(x \right) F_{22}\! \left(x \right)<br />
  
    F_{156}\! \left(x \right) = F_{157}\! \left(x \right)+F_{167}\! \left(x \right)<br />
  
    F_{157}\! \left(x \right) = F_{158}\! \left(x \right) F_{53}\! \left(x \right)<br />
  
    F_{158}\! \left(x \right) = F_{153}\! \left(x \right)+F_{159}\! \left(x \right)<br />
  
    F_{159}\! \left(x \right) = -F_{162}\! \left(x \right)+F_{160}\! \left(x \right)<br />
  
    F_{160}\! \left(x \right) = \frac{F_{161}\! \left(x \right)}{F_{22}\! \left(x \right)}<br />
  
    F_{161}\! \left(x \right) = F_{5}\! \left(x \right)<br />
  
    F_{162}\! \left(x \right) = -F_{165}\! \left(x \right)+F_{163}\! \left(x \right)<br />
  
    F_{163}\! \left(x \right) = \frac{F_{164}\! \left(x \right)}{F_{22}\! \left(x \right)}<br />
  
    F_{164}\! \left(x \right) = F_{7}\! \left(x \right)<br />
  
    F_{165}\! \left(x \right) = F_{166}\! \left(x \right) F_{2}\! \left(x \right)<br />
  
    F_{166}\! \left(x \right) = \frac{F_{159}\! \left(x \right)}{F_{0}\! \left(x \right)}<br />
  
    F_{167}\! \left(x \right) = F_{168}\! \left(x \right)<br />
  
    F_{168}\! \left(x \right) = F_{169}\! \left(x \right) F_{22}\! \left(x \right) F_{53}\! \left(x \right)<br />
  
    F_{169}\! \left(x \right) = F_{170}\! \left(x \right)+F_{171}\! \left(x \right)<br />
  
    F_{170}\! \left(x \right) = F_{156}\! \left(x \right) F_{58}\! \left(x \right)<br />
  
    F_{171}\! \left(x \right) = F_{129}\! \left(x \right) F_{158}\! \left(x \right)<br />
  
    F_{172}\! \left(x \right) = -F_{554}\! \left(x \right)+F_{173}\! \left(x \right)<br />
  
    F_{173}\! \left(x \right) = F_{174}\! \left(x \right)+F_{553}\! \left(x \right)<br />
  
    F_{174}\! \left(x \right) = F_{175}\! \left(x \right)+F_{545}\! \left(x \right)<br />
  
    F_{175}\! \left(x \right) = F_{176}\! \left(x \right)+F_{48}\! \left(x \right)<br />
  
    F_{176}\! \left(x \right) = F_{177}\! \left(x \right)<br />
  
    F_{177}\! \left(x \right) = F_{178}\! \left(x \right) F_{22}\! \left(x \right)<br />
  
    F_{178}\! \left(x \right) = F_{179}\! \left(x \right)<br />
  
    F_{179}\! \left(x \right) = F_{180}\! \left(x \right) F_{22}\! \left(x \right)<br />
  
    F_{180}\! \left(x \right) = \frac{F_{181}\! \left(x \right)}{F_{22}\! \left(x \right)}<br />
  
    F_{181}\! \left(x \right) = F_{182}\! \left(x \right)<br />
  
    F_{182}\! \left(x \right) = -F_{350}\! \left(x \right)+F_{183}\! \left(x \right)<br />
  
    F_{183}\! \left(x \right) = \frac{F_{184}\! \left(x \right)}{F_{0}\! \left(x \right) F_{22}\! \left(x \right)}<br />
  
    F_{184}\! \left(x \right) = F_{185}\! \left(x \right)<br />
  
    F_{185}\! \left(x \right) = F_{11}\! \left(x \right)+F_{186}\! \left(x \right)<br />
  
    F_{186}\! \left(x \right) = F_{187}\! \left(x \right)<br />
  
    F_{187}\! \left(x \right) = F_{188}\! \left(x \right) F_{22}\! \left(x \right)<br />
  
    F_{188}\! \left(x \right) = F_{189}\! \left(x \right)+F_{192}\! \left(x \right)<br />
  
    F_{189}\! \left(x \right) = F_{185}\! \left(x \right)+F_{190}\! \left(x \right)<br />
  
    F_{190}\! \left(x \right) = F_{191}\! \left(x \right)<br />
  
    F_{191}\! \left(x \right) = F_{185}\! \left(x \right) F_{22}\! \left(x \right) F_{51}\! \left(x \right)<br />
  
    F_{192}\! \left(x \right) = F_{193}\! \left(x \right)+F_{195}\! \left(x \right)<br />
  
    F_{193}\! \left(x \right) = F_{185}\! \left(x \right)+F_{194}\! \left(x \right)<br />
  
    F_{194}\! \left(x \right) = F_{37}\! \left(x \right)<br />
  
    F_{195}\! \left(x \right) = F_{196}\! \left(x \right)+F_{543}\! \left(x \right)<br />
  
    F_{196}\! \left(x \right) = F_{197}\! \left(x \right)<br />
  
    F_{197}\! \left(x \right) = F_{198}\! \left(x \right) F_{22}\! \left(x \right)<br />
  
    F_{198}\! \left(x \right) = F_{199}\! \left(x \right)+F_{541}\! \left(x \right)<br />
  
    F_{199}\! \left(x \right) = F_{200}\! \left(x \right)+F_{204}\! \left(x \right)<br />
  
    F_{200}\! \left(x \right) = F_{201}\! \left(x \right)<br />
  
    F_{201}\! \left(x \right) = F_{11}\! \left(x \right) F_{202}\! \left(x \right)<br />
  
    F_{202}\! \left(x \right) = \frac{F_{203}\! \left(x \right)}{F_{22}\! \left(x \right)}<br />
  
    F_{203}\! \left(x \right) = F_{61}\! \left(x \right)<br />
  
    F_{204}\! \left(x \right) = F_{205}\! \left(x \right)+F_{539}\! \left(x \right)<br />
  
    F_{205}\! \left(x \right) = F_{0}\! \left(x \right) F_{206}\! \left(x \right)<br />
  
    F_{206}\! \left(x \right) = -F_{433}\! \left(x \right)+F_{207}\! \left(x \right)<br />
  
    F_{207}\! \left(x \right) = F_{208}\! \left(x \right)<br />
  
    F_{208}\! \left(x \right) = -F_{324}\! \left(x \right)+F_{209}\! \left(x \right)<br />
  
    F_{209}\! \left(x \right) = \frac{F_{210}\! \left(x \right)}{F_{22}\! \left(x \right)}<br />
  
    F_{210}\! \left(x \right) = F_{211}\! \left(x \right)<br />
  
    F_{211}\! \left(x \right) = F_{212}\! \left(x \right)+F_{222}\! \left(x \right)<br />
  
    F_{212}\! \left(x \right) = F_{213}\! \left(x \right)+F_{221}\! \left(x \right)<br />
  
    F_{213}\! \left(x \right) = F_{214}\! \left(x \right)+F_{215}\! \left(x \right)<br />
  
    F_{214}\! \left(x \right) = -F_{36}\! \left(x \right)+F_{16}\! \left(x \right)<br />
  
    F_{215}\! \left(x \right) = F_{216}\! \left(x \right)<br />
  
    F_{216}\! \left(x \right) = F_{217}\! \left(x \right) F_{22}\! \left(x \right)<br />
  
    F_{217}\! \left(x \right) = F_{211}\! \left(x \right)+F_{218}\! \left(x \right)<br />
  
    F_{218}\! \left(x \right) = F_{213}\! \left(x \right)+F_{219}\! \left(x \right)<br />
  
    F_{219}\! \left(x \right) = F_{220}\! \left(x \right)<br />
  
    F_{220}\! \left(x \right) = F_{213}\! \left(x \right) F_{22}\! \left(x \right) F_{51}\! \left(x \right)<br />
  
    F_{221}\! \left(x \right) = F_{38}\! \left(x \right)<br />
  
    F_{222}\! \left(x \right) = -F_{320}\! \left(x \right)+F_{223}\! \left(x \right)<br />
  
    F_{223}\! \left(x \right) = F_{224}\! \left(x \right)+F_{315}\! \left(x \right)<br />
  
    F_{224}\! \left(x \right) = -F_{309}\! \left(x \right)+F_{225}\! \left(x \right)<br />
  
    F_{225}\! \left(x \right) = F_{226}\! \left(x \right)<br />
  
    F_{226}\! \left(x \right) = F_{22}\! \left(x \right) F_{227}\! \left(x \right)<br />
  
    F_{227}\! \left(x \right) = F_{228}\! \left(x \right)+F_{307}\! \left(x \right)<br />
  
    F_{228}\! \left(x \right) = \frac{F_{229}\! \left(x \right)}{F_{22}\! \left(x \right) F_{58}\! \left(x \right)}<br />
  
    F_{229}\! \left(x \right) = F_{230}\! \left(x \right)<br />
  
    F_{230}\! \left(x \right) = -F_{289}\! \left(x \right)+F_{231}\! \left(x \right)<br />
  
    F_{231}\! \left(x \right) = F_{232}\! \left(x \right)+F_{270}\! \left(x \right)<br />
  
    F_{232}\! \left(x \right) = F_{233}\! \left(x \right)+F_{253}\! \left(x \right)<br />
  
    F_{233}\! \left(x \right) = F_{107}\! \left(x \right)+F_{234}\! \left(x \right)<br />
  
    F_{234}\! \left(x \right) = F_{235}\! \left(x \right)<br />
  
    F_{235}\! \left(x \right) = F_{236}\! \left(x \right)<br />
  
    F_{236}\! \left(x \right) = F_{22}\! \left(x \right) F_{237}\! \left(x \right) F_{58}\! \left(x \right)<br />
  
    F_{237}\! \left(x \right) = F_{238}\! \left(x \right)+F_{239}\! \left(x \right)<br />
  
    F_{238}\! \left(x \right) = F_{107}\! \left(x \right) F_{131}\! \left(x \right)<br />
  
    F_{239}\! \left(x \right) = F_{240}\! \left(x \right)+F_{241}\! \left(x \right)<br />
  
    F_{240}\! \left(x \right) = -F_{131}\! \left(x \right)+F_{233}\! \left(x \right)<br />
  
    F_{241}\! \left(x \right) = F_{242}\! \left(x \right) F_{6}\! \left(x \right)<br />
  
    F_{242}\! \left(x \right) = \frac{F_{243}\! \left(x \right)}{F_{22}\! \left(x \right)}<br />
  
    F_{243}\! \left(x \right) = F_{244}\! \left(x \right)<br />
  
    F_{244}\! \left(x \right) = -F_{126}\! \left(x \right)+F_{245}\! \left(x \right)<br />
  
    F_{245}\! \left(x \right) = F_{246}\! \left(x \right)+F_{247}\! \left(x \right)<br />
  
    F_{246}\! \left(x \right) = F_{22}\! \left(x \right) F_{59}\! \left(x \right)<br />
  
    F_{247}\! \left(x \right) = F_{248}\! \left(x \right)<br />
  
    F_{248}\! \left(x \right) = F_{22}\! \left(x \right) F_{249}\! \left(x \right) F_{58}\! \left(x \right)<br />
  
    F_{249}\! \left(x \right) = F_{250}\! \left(x \right)+F_{251}\! \left(x \right)<br />
  
    F_{250}\! \left(x \right) = F_{125}\! \left(x \right) F_{131}\! \left(x \right)<br />
  
    F_{251}\! \left(x \right) = F_{252}\! \left(x \right) F_{58}\! \left(x \right)<br />
  
    F_{252}\! \left(x \right) = F_{125}\! \left(x \right)+F_{244}\! \left(x \right)<br />
  
    F_{253}\! \left(x \right) = -F_{258}\! \left(x \right)+F_{254}\! \left(x \right)<br />
  
    F_{254}\! \left(x \right) = \frac{F_{255}\! \left(x \right)}{F_{22}\! \left(x \right)}<br />
  
    F_{255}\! \left(x \right) = F_{256}\! \left(x \right)<br />
  
    F_{256}\! \left(x \right) = F_{22}\! \left(x \right) F_{257}\! \left(x \right)<br />
  
    F_{257}\! \left(x \right) = F_{258}\! \left(x \right)+F_{266}\! \left(x \right)<br />
  
    F_{258}\! \left(x \right) = F_{233}\! \left(x \right)+F_{259}\! \left(x \right)<br />
  
    F_{259}\! \left(x \right) = F_{260}\! \left(x \right)+F_{261}\! \left(x \right)<br />
  
    F_{260}\! \left(x \right) = F_{107}\! \left(x \right) F_{22}\! \left(x \right)<br />
  
    F_{261}\! \left(x \right) = F_{262}\! \left(x \right)<br />
  
    F_{262}\! \left(x \right) = F_{22}\! \left(x \right) F_{263}\! \left(x \right)<br />
  
    F_{263}\! \left(x \right) = F_{264}\! \left(x \right)+F_{265}\! \left(x \right)<br />
  
    F_{264}\! \left(x \right) = F_{125}\! \left(x \right) F_{237}\! \left(x \right)<br />
  
    F_{265}\! \left(x \right) = F_{107}\! \left(x \right) F_{252}\! \left(x \right) F_{58}\! \left(x \right)<br />
  
    F_{266}\! \left(x \right) = F_{267}\! \left(x \right)<br />
  
    F_{267}\! \left(x \right) = F_{260}\! \left(x \right)+F_{268}\! \left(x \right)<br />
  
    F_{268}\! \left(x \right) = F_{269}\! \left(x \right)<br />
  
    F_{269}\! \left(x \right) = F_{107}\! \left(x \right) F_{22}\! \left(x \right) F_{249}\! \left(x \right)<br />
  
    F_{270}\! \left(x \right) = F_{271}\! \left(x \right)<br />
  
    F_{271}\! \left(x \right) = F_{22}\! \left(x \right) F_{272}\! \left(x \right)<br />
  
    F_{272}\! \left(x \right) = F_{273}\! \left(x \right)+F_{276}\! \left(x \right)<br />
  
    F_{273}\! \left(x \right) = F_{131}\! \left(x \right) F_{274}\! \left(x \right)<br />
  
    F_{274}\! \left(x \right) = \frac{F_{275}\! \left(x \right)}{F_{22}\! \left(x \right)}<br />
  
    F_{275}\! \left(x \right) = F_{35}\! \left(x \right)<br />
  
    F_{276}\! \left(x \right) = F_{16}\! \left(x \right) F_{277}\! \left(x \right) F_{58}\! \left(x \right)<br />
  
    F_{277}\! \left(x \right) = \frac{F_{278}\! \left(x \right)}{F_{4}\! \left(x \right)}<br />
  
    F_{278}\! \left(x \right) = -F_{283}\! \left(x \right)+F_{279}\! \left(x \right)<br />
  
    F_{279}\! \left(x \right) = \frac{F_{280}\! \left(x \right)}{F_{22}\! \left(x \right)}<br />
  
    F_{280}\! \left(x \right) = F_{281}\! \left(x \right)<br />
  
    F_{281}\! \left(x \right) = F_{22}\! \left(x \right) F_{282}\! \left(x \right)<br />
  
    F_{282}\! \left(x \right) = F_{283}\! \left(x \right)+F_{287}\! \left(x \right)<br />
  
    F_{283}\! \left(x \right) = F_{284}\! \left(x \right)+F_{285}\! \left(x \right)<br />
  
    F_{284}\! \left(x \right) = F_{131}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{285}\! \left(x \right) = F_{252}\! \left(x \right) F_{286}\! \left(x \right)<br />
  
    F_{286}\! \left(x \right) = F_{0}\! \left(x \right)+F_{11}\! \left(x \right)<br />
  
    F_{287}\! \left(x \right) = F_{288}\! \left(x \right)<br />
  
    F_{288}\! \left(x \right) = F_{252}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{289}\! \left(x \right) = F_{290}\! \left(x \right)+F_{293}\! \left(x \right)<br />
  
    F_{290}\! \left(x \right) = F_{107}\! \left(x \right)+F_{291}\! \left(x \right)<br />
  
    F_{291}\! \left(x \right) = F_{292}\! \left(x \right)<br />
  
    F_{292}\! \left(x \right) = F_{22}\! \left(x \right) F_{274}\! \left(x \right) F_{58}\! \left(x \right)<br />
  
    F_{293}\! \left(x \right) = -F_{301}\! \left(x \right)+F_{294}\! \left(x \right)<br />
  
    F_{294}\! \left(x \right) = \frac{F_{295}\! \left(x \right)}{F_{22}\! \left(x \right)}<br />
  
    F_{295}\! \left(x \right) = F_{296}\! \left(x \right)<br />
  
    F_{296}\! \left(x \right) = F_{214}\! \left(x \right)+F_{297}\! \left(x \right)<br />
  
    F_{297}\! \left(x \right) = F_{298}\! \left(x \right)<br />
  
    F_{298}\! \left(x \right) = F_{22}\! \left(x \right) F_{299}\! \left(x \right)<br />
  
    F_{299}\! \left(x \right) = F_{300}\! \left(x \right)+F_{6}\! \left(x \right)<br />
  
    F_{300}\! \left(x \right) = F_{59}\! \left(x \right) F_{6}\! \left(x \right)<br />
  
    F_{301}\! \left(x \right) = F_{290}\! \left(x \right)+F_{302}\! \left(x \right)<br />
  
    F_{302}\! \left(x \right) = F_{303}\! \left(x \right)<br />
  
    F_{303}\! \left(x \right) = F_{22}\! \left(x \right) F_{304}\! \left(x \right)<br />
  
    F_{304}\! \left(x \right) = F_{107}\! \left(x \right)+F_{305}\! \left(x \right)<br />
  
    F_{305}\! \left(x \right) = F_{306}\! \left(x \right)<br />
  
    F_{306}\! \left(x \right) = F_{58} \left(x \right)^{2} F_{6}\! \left(x \right)<br />
  
    F_{307}\! \left(x \right) = F_{308}\! \left(x \right)<br />
  
    F_{308}\! \left(x \right) = F_{252}\! \left(x \right) F_{304}\! \left(x \right)<br />
  
    F_{309}\! \left(x \right) = F_{310}\! \left(x \right)+F_{311}\! \left(x \right)<br />
  
    F_{310}\! \left(x \right) = F_{214}\! \left(x \right) F_{58}\! \left(x \right)<br />
  
    F_{311}\! \left(x \right) = F_{312}\! \left(x \right)<br />
  
    F_{312}\! \left(x \right) = F_{125}\! \left(x \right) F_{22}\! \left(x \right) F_{313}\! \left(x \right)<br />
  
    F_{313}\! \left(x \right) = F_{16}\! \left(x \right)+F_{314}\! \left(x \right)<br />
  
    F_{314}\! \left(x \right) = F_{306}\! \left(x \right)<br />
  
    F_{315}\! \left(x \right) = F_{316}\! \left(x \right)<br />
  
    F_{316}\! \left(x \right) = F_{317}\! \left(x \right)<br />
  
    F_{317}\! \left(x \right) = F_{22}\! \left(x \right) F_{318}\! \left(x \right) F_{58}\! \left(x \right) F_{6}\! \left(x \right)<br />
  
    F_{318}\! \left(x \right) = \frac{F_{319}\! \left(x \right)}{F_{22}\! \left(x \right) F_{58}\! \left(x \right)}<br />
  
    F_{319}\! \left(x \right) = F_{244}\! \left(x \right)<br />
  
    F_{320}\! \left(x \right) = F_{321}\! \left(x \right)<br />
  
    F_{321}\! \left(x \right) = -F_{311}\! \left(x \right)+F_{322}\! \left(x \right)<br />
  
    F_{322}\! \left(x \right) = F_{323}\! \left(x \right)<br />
  
    F_{323}\! \left(x \right) = F_{22}\! \left(x \right) F_{252}\! \left(x \right) F_{313}\! \left(x \right)<br />
  
    F_{324}\! \left(x \right) = F_{325}\! \left(x \right)+F_{329}\! \left(x \right)<br />
  
    F_{325}\! \left(x \right) = -F_{536}\! \left(x \right)+F_{326}\! \left(x \right)<br />
  
    F_{326}\! \left(x \right) = -F_{415}\! \left(x \right)+F_{327}\! \left(x \right)<br />
  
    F_{327}\! \left(x \right) = F_{328}\! \left(x \right)+F_{336}\! \left(x \right)<br />
  
    F_{328}\! \left(x \right) = -F_{329}\! \left(x \right)+F_{209}\! \left(x \right)<br />
  
    F_{329}\! \left(x \right) = F_{330}\! \left(x \right)+F_{332}\! \left(x \right)<br />
  
    F_{330}\! \left(x \right) = \frac{F_{331}\! \left(x \right)}{F_{22}\! \left(x \right)}<br />
  
    F_{331}\! \left(x \right) = F_{38}\! \left(x \right)<br />
  
    F_{332}\! \left(x \right) = F_{333}\! \left(x \right)<br />
  
    F_{333}\! \left(x \right) = F_{334}\! \left(x \right) F_{6}\! \left(x \right)<br />
  
    F_{334}\! \left(x \right) = \frac{F_{335}\! \left(x \right)}{F_{22}\! \left(x \right)}<br />
  
    F_{335}\! \left(x \right) = F_{244}\! \left(x \right)<br />
  
    F_{336}\! \left(x \right) = F_{337}\! \left(x \right)<br />
  
    F_{337}\! \left(x \right) = F_{22}\! \left(x \right) F_{338}\! \left(x \right)<br />
  
    F_{338}\! \left(x \right) = \frac{F_{339}\! \left(x \right)}{F_{22} \left(x \right)^{2}}<br />
  
    F_{339}\! \left(x \right) = F_{340}\! \left(x \right)<br />
  
    F_{340}\! \left(x \right) = -F_{412}\! \left(x \right)+F_{341}\! \left(x \right)<br />
  
    F_{341}\! \left(x \right) = -F_{408}\! \left(x \right)+F_{342}\! \left(x \right)<br />
  
    F_{342}\! \left(x \right) = F_{343}\! \left(x \right)+F_{393}\! \left(x \right)<br />
  
    F_{343}\! \left(x \right) = -F_{387}\! \left(x \right)+F_{344}\! \left(x \right)<br />
  
    F_{344}\! \left(x \right) = F_{345}\! \left(x \right)+F_{354}\! \left(x \right)<br />
  
    F_{345}\! \left(x \right) = F_{212}\! \left(x \right)+F_{346}\! \left(x \right)<br />
  
    F_{346}\! \left(x \right) = F_{347}\! \left(x \right)<br />
  
    F_{347}\! \left(x \right) = F_{22} \left(x \right)^{2} F_{348}\! \left(x \right)<br />
  
    F_{348}\! \left(x \right) = F_{330}\! \left(x \right)+F_{349}\! \left(x \right)<br />
  
    F_{349}\! \left(x \right) = F_{350}\! \left(x \right)+F_{352}\! \left(x \right)<br />
  
    F_{350}\! \left(x \right) = \frac{F_{351}\! \left(x \right)}{F_{22}\! \left(x \right)}<br />
  
    F_{351}\! \left(x \right) = F_{48}\! \left(x \right)<br />
  
    F_{352}\! \left(x \right) = F_{353}\! \left(x \right)<br />
  
    F_{353}\! \left(x \right) = F_{202}\! \left(x \right) F_{6}\! \left(x \right)<br />
  
    F_{354}\! \left(x \right) = F_{355}\! \left(x \right)+F_{356}\! \left(x \right)<br />
  
    F_{355}\! \left(x \right) = F_{218}\! \left(x \right)+F_{222}\! \left(x \right)<br />
  
    F_{356}\! \left(x \right) = F_{357}\! \left(x \right)<br />
  
    F_{357}\! \left(x \right) = F_{22} \left(x \right)^{2} F_{358}\! \left(x \right)<br />
  
    F_{358}\! \left(x \right) = F_{359}\! \left(x \right)+F_{363}\! \left(x \right)<br />
  
    F_{359}\! \left(x \right) = \frac{F_{360}\! \left(x \right)}{F_{22}\! \left(x \right)}<br />
  
    F_{360}\! \left(x \right) = F_{361}\! \left(x \right)<br />
  
    F_{361}\! \left(x \right) = -F_{362}\! \left(x \right)+F_{46}\! \left(x \right)<br />
  
    F_{362}\! \left(x \right) = F_{38}\! \left(x \right)+F_{48}\! \left(x \right)<br />
  
    F_{363}\! \left(x \right) = F_{364}\! \left(x \right)<br />
  
    F_{364}\! \left(x \right) = F_{365}\! \left(x \right) F_{58}\! \left(x \right) F_{6}\! \left(x \right)<br />
  
    F_{365}\! \left(x \right) = \frac{F_{366}\! \left(x \right)}{F_{22}\! \left(x \right) F_{53}\! \left(x \right)}<br />
  
    F_{366}\! \left(x \right) = F_{367}\! \left(x \right)<br />
  
    F_{367}\! \left(x \right) = F_{22}\! \left(x \right) F_{368}\! \left(x \right) F_{52}\! \left(x \right) F_{58}\! \left(x \right)<br />
  
    F_{368}\! \left(x \right) = \frac{F_{369}\! \left(x \right)}{F_{118}\! \left(x \right) F_{22}\! \left(x \right)}<br />
  
    F_{369}\! \left(x \right) = F_{370}\! \left(x \right)<br />
  
    F_{370}\! \left(x \right) = F_{22}\! \left(x \right) F_{371}\! \left(x \right)<br />
  
    F_{371}\! \left(x \right) = F_{372}\! \left(x \right)+F_{373}\! \left(x \right)<br />
  
    F_{372}\! \left(x \right) = F_{118}\! \left(x \right) F_{131}\! \left(x \right)<br />
  
    F_{373}\! \left(x \right) = F_{374}\! \left(x \right) F_{58}\! \left(x \right)<br />
  
    F_{374}\! \left(x \right) = F_{22}\! \left(x \right)+F_{375}\! \left(x \right)<br />
  
    F_{375}\! \left(x \right) = F_{376}\! \left(x \right)+F_{377}\! \left(x \right)+F_{386}\! \left(x \right)<br />
  
    F_{376}\! \left(x \right) = 0<br />
  
    F_{377}\! \left(x \right) = F_{22}\! \left(x \right) F_{378}\! \left(x \right)<br />
  
    F_{378}\! \left(x \right) = F_{374}\! \left(x \right)+F_{379}\! \left(x \right)<br />
  
    F_{379}\! \left(x \right) = F_{380}\! \left(x \right)+F_{383}\! \left(x \right)<br />
  
    F_{380}\! \left(x \right) = F_{381}\! \left(x \right)<br />
  
    F_{381}\! \left(x \right) = F_{22}\! \left(x \right) F_{382}\! \left(x \right)<br />
  
    F_{382}\! \left(x \right) = F_{22}\! \left(x \right)+F_{380}\! \left(x \right)<br />
  
    F_{383}\! \left(x \right) = F_{384}\! \left(x \right)<br />
  
    F_{384}\! \left(x \right) = F_{22}\! \left(x \right) F_{385}\! \left(x \right)<br />
  
    F_{385}\! \left(x \right) = F_{375}\! \left(x \right)+F_{383}\! \left(x \right)<br />
  
    F_{386}\! \left(x \right) = F_{22}\! \left(x \right) F_{54}\! \left(x \right)<br />
  
    F_{387}\! \left(x \right) = F_{218}\! \left(x \right)+F_{388}\! \left(x \right)<br />
  
    F_{388}\! \left(x \right) = F_{389}\! \left(x \right)<br />
  
    F_{389}\! \left(x \right) = F_{22}\! \left(x \right) F_{390}\! \left(x \right)<br />
  
    F_{390}\! \left(x \right) = F_{391}\! \left(x \right)+F_{47}\! \left(x \right)<br />
  
    F_{391}\! \left(x \right) = F_{392}\! \left(x \right)<br />
  
    F_{392}\! \left(x \right) = F_{129}\! \left(x \right) F_{58}\! \left(x \right) F_{6}\! \left(x \right)<br />
  
    F_{393}\! \left(x \right) = F_{394}\! \left(x \right)<br />
  
    F_{394}\! \left(x \right) = F_{22}\! \left(x \right) F_{395}\! \left(x \right)<br />
  
    F_{395}\! \left(x \right) = F_{396}\! \left(x \right)+F_{407}\! \left(x \right)<br />
  
    F_{396}\! \left(x \right) = -F_{406}\! \left(x \right)+F_{397}\! \left(x \right)<br />
  
    F_{397}\! \left(x \right) = -F_{405}\! \left(x \right)+F_{398}\! \left(x \right)<br />
  
    F_{398}\! \left(x \right) = \frac{F_{399}\! \left(x \right)}{F_{22}\! \left(x \right)}<br />
  
    F_{399}\! \left(x \right) = F_{400}\! \left(x \right)<br />
  
    F_{400}\! \left(x \right) = F_{22}\! \left(x \right) F_{401}\! \left(x \right)<br />
  
    F_{401}\! \left(x \right) = F_{402}\! \left(x \right)+F_{403}\! \left(x \right)<br />
  
    F_{402}\! \left(x \right) = F_{291}\! \left(x \right)+F_{293}\! \left(x \right)<br />
  
    F_{403}\! \left(x \right) = F_{404}\! \left(x \right)<br />
  
    F_{404}\! \left(x \right) = F_{58} \left(x \right)^{2} F_{22}\! \left(x \right) F_{6}\! \left(x \right)<br />
  
    F_{405}\! \left(x \right) = F_{16}\! \left(x \right) F_{22}\! \left(x \right) F_{59}\! \left(x \right)<br />
  
    F_{406}\! \left(x \right) = F_{16}\! \left(x \right) F_{59}\! \left(x \right)<br />
  
    F_{407}\! \left(x \right) = F_{129}\! \left(x \right) F_{299}\! \left(x \right)<br />
  
    F_{408}\! \left(x \right) = F_{409}\! \left(x \right)<br />
  
    F_{409}\! \left(x \right) = F_{410}\! \left(x \right) F_{411}\! \left(x \right)<br />
  
    F_{410}\! \left(x \right) = F_{316}\! \left(x \right)+F_{38}\! \left(x \right)<br />
  
    F_{411}\! \left(x \right) = F_{1}\! \left(x \right)+F_{22}\! \left(x \right)<br />
  
    F_{412}\! \left(x \right) = -F_{414}\! \left(x \right)+F_{413}\! \left(x \right)<br />
  
    F_{413}\! \left(x \right) = F_{211}\! \left(x \right)+F_{393}\! \left(x \right)<br />
  
    F_{414}\! \left(x \right) = F_{410}\! \left(x \right)<br />
  
    F_{415}\! \left(x \right) = F_{416}\! \left(x \right)<br />
  
    F_{416}\! \left(x \right) = -F_{531}\! \left(x \right)+F_{417}\! \left(x \right)<br />
  
    F_{417}\! \left(x \right) = F_{418}\! \left(x \right)+F_{521}\! \left(x \right)<br />
  
    F_{418}\! \left(x \right) = F_{419}\! \left(x \right)+F_{520}\! \left(x \right)<br />
  
    F_{419}\! \left(x \right) = F_{420}\! \left(x \right)+F_{431}\! \left(x \right)<br />
  
    F_{420}\! \left(x \right) = F_{329}\! \left(x \right)+F_{421}\! \left(x \right)<br />
  
    F_{421}\! \left(x \right) = \frac{F_{422}\! \left(x \right)}{F_{22}\! \left(x \right)}<br />
  
    F_{422}\! \left(x \right) = F_{423}\! \left(x \right)<br />
  
    F_{423}\! \left(x \right) = \frac{F_{424}\! \left(x \right)}{F_{411}\! \left(x \right)}<br />
  
    F_{424}\! \left(x \right) = -F_{428}\! \left(x \right)+F_{425}\! \left(x \right)<br />
  
    F_{425}\! \left(x \right) = F_{426}\! \left(x \right)+F_{430}\! \left(x \right)<br />
  
    F_{426}\! \left(x \right) = -F_{410}\! \left(x \right)+F_{427}\! \left(x \right)<br />
  
    F_{427}\! \left(x \right) = F_{172}\! \left(x \right)+F_{428}\! \left(x \right)<br />
  
    F_{428}\! \left(x \right) = F_{429}\! \left(x \right)<br />
  
    F_{429}\! \left(x \right) = F_{22}\! \left(x \right) F_{396}\! \left(x \right)<br />
  
    F_{430}\! \left(x \right) = F_{22}\! \left(x \right) F_{423}\! \left(x \right)<br />
  
    F_{431}\! \left(x \right) = F_{432}\! \left(x \right)<br />
  
    F_{432}\! \left(x \right) = F_{182}\! \left(x \right)+F_{433}\! \left(x \right)<br />
  
    F_{433}\! \left(x \right) = F_{434}\! \left(x \right)<br />
  
    F_{434}\! \left(x \right) = F_{435}\! \left(x \right) F_{6}\! \left(x \right)<br />
  
    F_{435}\! \left(x \right) = \frac{F_{436}\! \left(x \right)}{F_{118}\! \left(x \right) F_{53}\! \left(x \right)}<br />
  
    F_{436}\! \left(x \right) = F_{437}\! \left(x \right)<br />
  
    F_{437}\! \left(x \right) = -F_{509}\! \left(x \right)+F_{438}\! \left(x \right)<br />
  
    F_{438}\! \left(x \right) = \frac{F_{439}\! \left(x \right)}{F_{22}\! \left(x \right)}<br />
  
    F_{439}\! \left(x \right) = F_{440}\! \left(x \right)<br />
  
    F_{440}\! \left(x \right) = -F_{491}\! \left(x \right)+F_{441}\! \left(x \right)<br />
  
    F_{441}\! \left(x \right) = \frac{F_{442}\! \left(x \right)}{F_{22}\! \left(x \right)}<br />
  
    F_{442}\! \left(x \right) = F_{443}\! \left(x \right)<br />
  
    F_{443}\! \left(x \right) = -F_{490}\! \left(x \right)+F_{444}\! \left(x \right)<br />
  
    F_{444}\! \left(x \right) = -F_{464}\! \left(x \right)+F_{445}\! \left(x \right)<br />
  
    F_{445}\! \left(x \right) = \frac{F_{446}\! \left(x \right)}{F_{22}\! \left(x \right)}<br />
  
    F_{446}\! \left(x \right) = F_{447}\! \left(x \right)<br />
  
    F_{447}\! \left(x \right) = -F_{2}\! \left(x \right)+F_{448}\! \left(x \right)<br />
  
    F_{448}\! \left(x \right) = -F_{451}\! \left(x \right)+F_{449}\! \left(x \right)<br />
  
    F_{449}\! \left(x \right) = \frac{F_{450}\! \left(x \right)}{F_{22}\! \left(x \right)}<br />
  
    F_{450}\! \left(x \right) = F_{2}\! \left(x \right)<br />
  
    F_{451}\! \left(x \right) = F_{1}\! \left(x \right)+F_{452}\! \left(x \right)<br />
  
    F_{452}\! \left(x \right) = F_{453}\! \left(x \right)<br />
  
    F_{453}\! \left(x \right) = F_{22}\! \left(x \right) F_{454}\! \left(x \right)<br />
  
    F_{454}\! \left(x \right) = F_{451}\! \left(x \right)+F_{455}\! \left(x \right)<br />
  
    F_{455}\! \left(x \right) = F_{115}\! \left(x \right)+F_{456}\! \left(x \right)<br />
  
    F_{456}\! \left(x \right) = F_{376}\! \left(x \right)+F_{457}\! \left(x \right)+F_{460}\! \left(x \right)<br />
  
    F_{457}\! \left(x \right) = F_{22}\! \left(x \right) F_{458}\! \left(x \right)<br />
  
    F_{458}\! \left(x \right) = F_{459}\! \left(x \right)<br />
  
    F_{459}\! \left(x \right) = F_{452}\! \left(x \right)+F_{456}\! \left(x \right)<br />
  
    F_{460}\! \left(x \right) = F_{22}\! \left(x \right) F_{461}\! \left(x \right)<br />
  
    F_{461}\! \left(x \right) = F_{462}\! \left(x \right)+F_{463}\! \left(x \right)<br />
  
    F_{462}\! \left(x \right) = F_{54}\! \left(x \right)<br />
  
    F_{463}\! \left(x \right) = F_{120}\! \left(x \right)<br />
  
    F_{464}\! \left(x \right) = -F_{468}\! \left(x \right)+F_{465}\! \left(x \right)<br />
  
    F_{465}\! \left(x \right) = \frac{F_{466}\! \left(x \right)}{F_{22}\! \left(x \right)}<br />
  
    F_{466}\! \left(x \right) = F_{467}\! \left(x \right)<br />
  
    F_{467}\! \left(x \right) = F_{447}\! \left(x \right)+F_{452}\! \left(x \right)<br />
  
    F_{468}\! \left(x \right) = F_{469}\! \left(x \right)+F_{470}\! \left(x \right)<br />
  
    F_{469}\! \left(x \right) = F_{451}\! \left(x \right) F_{58}\! \left(x \right)<br />
  
    F_{470}\! \left(x \right) = F_{471}\! \left(x \right)<br />
  
    F_{471}\! \left(x \right) = F_{22}\! \left(x \right) F_{472}\! \left(x \right)<br />
  
    F_{472}\! \left(x \right) = F_{473}\! \left(x \right)+F_{489}\! \left(x \right)<br />
  
    F_{473}\! \left(x \right) = F_{474}\! \left(x \right)+F_{475}\! \left(x \right)<br />
  
    F_{474}\! \left(x \right) = F_{131}\! \left(x \right) F_{454}\! \left(x \right)<br />
  
    F_{475}\! \left(x \right) = F_{476}\! \left(x \right)<br />
  
    F_{476}\! \left(x \right) = -F_{481}\! \left(x \right)+F_{477}\! \left(x \right)<br />
  
    F_{477}\! \left(x \right) = \frac{F_{478}\! \left(x \right)}{F_{22}\! \left(x \right)}<br />
  
    F_{478}\! \left(x \right) = F_{479}\! \left(x \right)<br />
  
    F_{479}\! \left(x \right) = F_{22}\! \left(x \right) F_{480}\! \left(x \right)<br />
  
    F_{480}\! \left(x \right) = F_{481}\! \left(x \right)+F_{487}\! \left(x \right)<br />
  
    F_{481}\! \left(x \right) = F_{482}\! \left(x \right)+F_{485}\! \left(x \right)<br />
  
    F_{482}\! \left(x \right) = F_{131}\! \left(x \right) F_{483}\! \left(x \right)<br />
  
    F_{483}\! \left(x \right) = F_{454}\! \left(x \right)+F_{484}\! \left(x \right)<br />
  
    F_{484}\! \left(x \right) = F_{118}\! \left(x \right) F_{54}\! \left(x \right)<br />
  
    F_{485}\! \left(x \right) = F_{486}\! \left(x \right)<br />
  
    F_{486}\! \left(x \right) = F_{118}\! \left(x \right) F_{277}\! \left(x \right) F_{53}\! \left(x \right)<br />
  
    F_{487}\! \left(x \right) = F_{488}\! \left(x \right)<br />
  
    F_{488}\! \left(x \right) = F_{118}\! \left(x \right) F_{252}\! \left(x \right) F_{53}\! \left(x \right)<br />
  
    F_{489}\! \left(x \right) = F_{486}\! \left(x \right)<br />
  
    F_{490}\! \left(x \right) = F_{451}\! \left(x \right) F_{59}\! \left(x \right)<br />
  
    F_{491}\! \left(x \right) = F_{492}\! \left(x \right)<br />
  
    F_{492}\! \left(x \right) = F_{22}\! \left(x \right) F_{493}\! \left(x \right)<br />
  
    F_{493}\! \left(x \right) = F_{494}\! \left(x \right)+F_{507}\! \left(x \right)<br />
  
    F_{494}\! \left(x \right) = F_{495}\! \left(x \right)+F_{505}\! \left(x \right)<br />
  
    F_{495}\! \left(x \right) = F_{496}\! \left(x \right) F_{52}\! \left(x \right)<br />
  
    F_{496}\! \left(x \right) = F_{497}\! \left(x \right)+F_{503}\! \left(x \right)<br />
  
    F_{497}\! \left(x \right) = F_{454}\! \left(x \right)+F_{498}\! \left(x \right)<br />
  
    F_{498}\! \left(x \right) = F_{22}\! \left(x \right)+F_{499}\! \left(x \right)<br />
  
    F_{499}\! \left(x \right) = F_{376}\! \left(x \right)+F_{500}\! \left(x \right)+F_{501}\! \left(x \right)<br />
  
    F_{500}\! \left(x \right) = F_{115}\! \left(x \right) F_{22}\! \left(x \right)<br />
  
    F_{501}\! \left(x \right) = F_{22}\! \left(x \right) F_{502}\! \left(x \right)<br />
  
    F_{502}\! \left(x \right) = F_{498}\! \left(x \right)<br />
  
    F_{503}\! \left(x \right) = F_{504}\! \left(x \right)<br />
  
    F_{504}\! \left(x \right) = F_{118}\! \left(x \right) F_{22}\! \left(x \right) F_{53}\! \left(x \right)<br />
  
    F_{505}\! \left(x \right) = F_{506}\! \left(x \right)<br />
  
    F_{506}\! \left(x \right) = F_{118}\! \left(x \right) F_{53}\! \left(x \right) F_{61}\! \left(x \right)<br />
  
    F_{507}\! \left(x \right) = F_{508}\! \left(x \right)<br />
  
    F_{508}\! \left(x \right) = F_{118}\! \left(x \right) F_{202}\! \left(x \right) F_{22}\! \left(x \right) F_{53}\! \left(x \right)<br />
  
    F_{509}\! \left(x \right) = F_{510}\! \left(x \right)+F_{511}\! \left(x \right)<br />
  
    F_{510}\! \left(x \right) = F_{202}\! \left(x \right) F_{454}\! \left(x \right)<br />
  
    F_{511}\! \left(x \right) = F_{512}\! \left(x \right)<br />
  
    F_{512}\! \left(x \right) = -F_{515}\! \left(x \right)+F_{513}\! \left(x \right)<br />
  
    F_{513}\! \left(x \right) = \frac{F_{514}\! \left(x \right)}{F_{22}\! \left(x \right)}<br />
  
    F_{514}\! \left(x \right) = F_{440}\! \left(x \right)<br />
  
    F_{515}\! \left(x \right) = -F_{518}\! \left(x \right)+F_{516}\! \left(x \right)<br />
  
    F_{516}\! \left(x \right) = \frac{F_{517}\! \left(x \right)}{F_{22}\! \left(x \right)}<br />
  
    F_{517}\! \left(x \right) = F_{440}\! \left(x \right)<br />
  
    F_{518}\! \left(x \right) = F_{519}\! \left(x \right)<br />
  
    F_{519}\! \left(x \right) = F_{118}\! \left(x \right) F_{334}\! \left(x \right) F_{53}\! \left(x \right)<br />
  
    F_{520}\! \left(x \right) = F_{22}\! \left(x \right) F_{420}\! \left(x \right)<br />
  
    F_{521}\! \left(x \right) = F_{522}\! \left(x \right)<br />
  
    F_{522}\! \left(x \right) = F_{22}\! \left(x \right) F_{523}\! \left(x \right)<br />
  
    F_{523}\! \left(x \right) = \frac{F_{524}\! \left(x \right)}{F_{22}\! \left(x \right)}<br />
  
    F_{524}\! \left(x \right) = F_{525}\! \left(x \right)<br />
  
    F_{525}\! \left(x \right) = -F_{528}\! \left(x \right)+F_{526}\! \left(x \right)<br />
  
    F_{526}\! \left(x \right) = \frac{F_{527}\! \left(x \right)}{F_{22}\! \left(x \right)}<br />
  
    F_{527}\! \left(x \right) = F_{296}\! \left(x \right)<br />
  
    F_{528}\! \left(x \right) = F_{411}\! \left(x \right) F_{529}\! \left(x \right)<br />
  
    F_{529}\! \left(x \right) = F_{166}\! \left(x \right)+F_{530}\! \left(x \right)<br />
  
    F_{530}\! \left(x \right) = F_{52}\! \left(x \right) F_{6}\! \left(x \right)<br />
  
    F_{531}\! \left(x \right) = F_{432}\! \left(x \right)+F_{532}\! \left(x \right)<br />
  
    F_{532}\! \left(x \right) = F_{533}\! \left(x \right)+F_{535}\! \left(x \right)<br />
  
    F_{533}\! \left(x \right) = F_{521}\! \left(x \right)+F_{534}\! \left(x \right)<br />
  
    F_{534}\! \left(x \right) = F_{349}\! \left(x \right) F_{411}\! \left(x \right)<br />
  
    F_{535}\! \left(x \right) = F_{329}\! \left(x \right) F_{411}\! \left(x \right)<br />
  
    F_{536}\! \left(x \right) = F_{537}\! \left(x \right)<br />
  
    F_{537}\! \left(x \right) = F_{22}\! \left(x \right) F_{538}\! \left(x \right)<br />
  
    F_{538}\! \left(x \right) = -F_{207}\! \left(x \right)+F_{338}\! \left(x \right)<br />
  
    F_{539}\! \left(x \right) = F_{540}\! \left(x \right)<br />
  
    F_{540}\! \left(x \right) = F_{11}\! \left(x \right) F_{435}\! \left(x \right)<br />
  
    F_{541}\! \left(x \right) = F_{542}\! \left(x \right)<br />
  
    F_{542}\! \left(x \right) = F_{0}\! \left(x \right) F_{435}\! \left(x \right) F_{6}\! \left(x \right)<br />
  
    F_{543}\! \left(x \right) = F_{544}\! \left(x \right)<br />
  
    F_{544}\! \left(x \right) = F_{11}\! \left(x \right) F_{22}\! \left(x \right) F_{318}\! \left(x \right) F_{58}\! \left(x \right)<br />
  
    F_{545}\! \left(x \right) = -F_{551}\! \left(x \right)+F_{546}\! \left(x \right)<br />
  
    F_{546}\! \left(x \right) = F_{547}\! \left(x \right)+F_{549}\! \left(x \right)<br />
  
    F_{547}\! \left(x \right) = F_{548}\! \left(x \right)<br />
  
    F_{548}\! \left(x \right) = F_{22}\! \left(x \right) F_{237}\! \left(x \right)<br />
  
    F_{549}\! \left(x \right) = F_{550}\! \left(x \right)<br />
  
    F_{550}\! \left(x \right) = F_{252}\! \left(x \right) F_{6}\! \left(x \right)<br />
  
    F_{551}\! \left(x \right) = F_{552}\! \left(x \right) F_{6}\! \left(x \right)<br />
  
    F_{552}\! \left(x \right) = F_{125}\! \left(x \right)+F_{58}\! \left(x \right)<br />
  
    F_{553}\! \left(x \right) = F_{410}\! \left(x \right)<br />
  
    F_{554}\! \left(x \right) = F_{555}\! \left(x \right)<br />
  
    F_{555}\! \left(x \right) = F_{176}\! \left(x \right)+F_{556}\! \left(x \right)<br />
  
    F_{556}\! \left(x \right) = F_{244}\! \left(x \right) F_{6}\! \left(x \right)<br />
  
    F_{557}\! \left(x \right) = F_{0}\! \left(x \right) F_{361}\! \left(x \right)<br />
  
    F_{558}\! \left(x \right) = F_{559}\! \left(x \right)<br />
  
    F_{559}\! \left(x \right) = F_{16}\! \left(x \right) F_{2}\! \left(x \right) F_{22}\! \left(x \right)<br />
  
    F_{560}\! \left(x \right) = F_{561}\! \left(x \right)+F_{577}\! \left(x \right)<br />
  
    F_{561}\! \left(x \right) = F_{562}\! \left(x \right)+F_{563}\! \left(x \right)<br />
  
    F_{562}\! \left(x \right) = F_{5}\! \left(x \right)+F_{66}\! \left(x \right)<br />
  
    F_{563}\! \left(x \right) = F_{564}\! \left(x \right)<br />
  
    F_{564}\! \left(x \right) = F_{22}\! \left(x \right) F_{565}\! \left(x \right)<br />
  
    F_{565}\! \left(x \right) = F_{566}\! \left(x \right)+F_{575}\! \left(x \right)<br />
  
    F_{566}\! \left(x \right) = F_{567}\! \left(x \right)+F_{569}\! \left(x \right)<br />
  
    F_{567}\! \left(x \right) = F_{568}\! \left(x \right)<br />
  
    F_{568}\! \left(x \right) = F_{561}\! \left(x \right) F_{58}\! \left(x \right)<br />
  
    F_{569}\! \left(x \right) = F_{570}\! \left(x \right)<br />
  
    F_{570}\! \left(x \right) = F_{125}\! \left(x \right) F_{571}\! \left(x \right)<br />
  
    F_{571}\! \left(x \right) = F_{572}\! \left(x \right)+F_{573}\! \left(x \right)<br />
  
    F_{572}\! \left(x \right) = F_{0}\! \left(x \right) F_{16}\! \left(x \right)<br />
  
    F_{573}\! \left(x \right) = F_{574}\! \left(x \right)<br />
  
    F_{574}\! \left(x \right) = F_{58} \left(x \right)^{2} F_{5}\! \left(x \right)<br />
  
    F_{575}\! \left(x \right) = F_{576}\! \left(x \right)<br />
  
    F_{576}\! \left(x \right) = F_{58} \left(x \right)^{2} F_{11}\! \left(x \right) F_{125}\! \left(x \right)<br />
  
    F_{577}\! \left(x \right) = F_{578}\! \left(x \right)<br />
  
    F_{578}\! \left(x \right) = F_{58} \left(x \right)^{2} F_{22}\! \left(x \right) F_{5}\! \left(x \right)<br />
  
    F_{579}\! \left(x \right) = F_{580}\! \left(x \right)<br />
  
    F_{580}\! \left(x \right) = F_{22}\! \left(x \right) F_{581}\! \left(x \right)<br />
  
    F_{581}\! \left(x \right) = F_{582}\! \left(x \right)+F_{583}\! \left(x \right)<br />
  
    F_{582}\! \left(x \right) = F_{16}\! \left(x \right) F_{2}\! \left(x \right)<br />
  
    F_{583}\! \left(x \right) = F_{584}\! \left(x \right)<br />
  
    F_{584}\! \left(x \right) = F_{58} \left(x \right)^{2} F_{11}\! \left(x \right)<br />
  
    F_{585}\! \left(x \right) = F_{586}\! \left(x \right)<br />
  
    F_{586}\! \left(x \right) = F_{22}\! \left(x \right) F_{587}\! \left(x \right)<br />
  
    F_{587}\! \left(x \right) = F_{411}\! \left(x \right)+F_{588}\! \left(x \right)<br />
  
    F_{588}\! \left(x \right) = F_{22}\! \left(x \right)<br />
  
    F_{589}\! \left(x \right) = F_{590}\! \left(x \right)<br />
  
    F_{590}\! \left(x \right) = F_{22}\! \left(x \right) F_{591}\! \left(x \right)<br />
  
    F_{591}\! \left(x \right) = F_{592}\! \left(x \right)+F_{602}\! \left(x \right)<br />
  
    F_{592}\! \left(x \right) = F_{593}\! \left(x \right)+F_{595}\! \left(x \right)<br />
  
    F_{593}\! \left(x \right) = F_{589}\! \left(x \right)+F_{594}\! \left(x \right)<br />
  
    F_{594}\! \left(x \right) = F_{10}\! \left(x \right)+F_{4}\! \left(x \right)<br />
  
    F_{595}\! \left(x \right) = -F_{599}\! \left(x \right)+F_{596}\! \left(x \right)<br />
  
    F_{596}\! \left(x \right) = \frac{F_{597}\! \left(x \right)}{F_{22}\! \left(x \right)}<br />
  
    F_{597}\! \left(x \right) = F_{598}\! \left(x \right)<br />
  
    F_{598}\! \left(x \right) = -F_{214}\! \left(x \right)+F_{10}\! \left(x \right)<br />
  
    F_{599}\! \left(x \right) = F_{600}\! \left(x \right)+F_{601}\! \left(x \right)<br />
  
    F_{600}\! \left(x \right) = F_{0}\! \left(x \right) F_{48}\! \left(x \right)<br />
  
    F_{601}\! \left(x \right) = F_{11}\! \left(x \right) F_{129}\! \left(x \right)<br />
  
    F_{602}\! \left(x \right) = F_{603}\! \left(x \right)+F_{607}\! \left(x \right)<br />
  
    F_{603}\! \left(x \right) = F_{604}\! \left(x \right)+F_{606}\! \left(x \right)<br />
  
    F_{604}\! \left(x \right) = -F_{605}\! \left(x \right)+F_{9}\! \left(x \right)<br />
  
    F_{605}\! \left(x \right) = F_{4}\! \left(x \right) F_{6}\! \left(x \right)<br />
  
    F_{606}\! \left(x \right) = F_{37}\! \left(x \right)<br />
  
    F_{607}\! \left(x \right) = -F_{606}\! \left(x \right)+F_{608}\! \left(x \right)<br />
  
    F_{608}\! \left(x \right) = F_{609}\! \left(x \right)+F_{699}\! \left(x \right)<br />
  
    F_{609}\! \left(x \right) = -F_{698}\! \left(x \right)+F_{610}\! \left(x \right)<br />
  
    F_{610}\! \left(x \right) = F_{611}\! \left(x \right)<br />
  
    F_{611}\! \left(x \right) = F_{22}\! \left(x \right) F_{612}\! \left(x \right)<br />
  
    F_{612}\! \left(x \right) = F_{613}\! \left(x \right)+F_{695}\! \left(x \right)<br />
  
    F_{613}\! \left(x \right) = \frac{F_{614}\! \left(x \right)}{F_{22}\! \left(x \right) F_{58}\! \left(x \right)}<br />
  
    F_{614}\! \left(x \right) = F_{615}\! \left(x \right)<br />
  
    F_{615}\! \left(x \right) = -F_{691}\! \left(x \right)+F_{616}\! \left(x \right)<br />
  
    F_{616}\! \left(x \right) = -F_{648}\! \left(x \right)+F_{617}\! \left(x \right)<br />
  
    F_{617}\! \left(x \right) = F_{618}\! \left(x \right)+F_{643}\! \left(x \right)<br />
  
    F_{618}\! \left(x \right) = F_{619}\! \left(x \right)+F_{637}\! \left(x \right)<br />
  
    F_{619}\! \left(x \right) = F_{620}\! \left(x \right)+F_{625}\! \left(x \right)<br />
  
    F_{620}\! \left(x \right) = -F_{623}\! \left(x \right)+F_{621}\! \left(x \right)<br />
  
    F_{621}\! \left(x \right) = \frac{F_{622}\! \left(x \right)}{F_{22}\! \left(x \right)}<br />
  
    F_{622}\! \left(x \right) = F_{87}\! \left(x \right)<br />
  
    F_{623}\! \left(x \right) = F_{624}\! \left(x \right)<br />
  
    F_{624}\! \left(x \right) = F_{0}\! \left(x \right) F_{107}\! \left(x \right) F_{22}\! \left(x \right)<br />
  
    F_{625}\! \left(x \right) = F_{626}\! \left(x \right)<br />
  
    F_{626}\! \left(x \right) = F_{22}\! \left(x \right) F_{58}\! \left(x \right) F_{627}\! \left(x \right)<br />
  
    F_{627}\! \left(x \right) = -F_{635}\! \left(x \right)+F_{628}\! \left(x \right)<br />
  
    F_{628}\! \left(x \right) = \frac{F_{629}\! \left(x \right)}{F_{22}\! \left(x \right)}<br />
  
    F_{629}\! \left(x \right) = F_{630}\! \left(x \right)<br />
  
    F_{630}\! \left(x \right) = F_{631}\! \left(x \right)+F_{633}\! \left(x \right)<br />
  
    F_{631}\! \left(x \right) = F_{196}\! \left(x \right)+F_{632}\! \left(x \right)<br />
  
    F_{632}\! \left(x \right) = F_{11}\! \left(x \right) F_{58}\! \left(x \right)<br />
  
    F_{633}\! \left(x \right) = F_{634}\! \left(x \right)<br />
  
    F_{634}\! \left(x \right) = F_{0}\! \left(x \right) F_{16}\! \left(x \right) F_{22}\! \left(x \right) F_{252}\! \left(x \right)<br />
  
    F_{635}\! \left(x \right) = F_{636}\! \left(x \right)<br />
  
    F_{636}\! \left(x \right) = F_{0}\! \left(x \right) F_{107}\! \left(x \right) F_{252}\! \left(x \right)<br />
  
    F_{637}\! \left(x \right) = F_{638}\! \left(x \right)<br />
  
    F_{638}\! \left(x \right) = F_{22}\! \left(x \right) F_{639}\! \left(x \right)<br />
  
    F_{639}\! \left(x \right) = F_{640}\! \left(x \right)+F_{641}\! \left(x \right)<br />
  
    F_{640}\! \left(x \right) = F_{131}\! \left(x \right) F_{72}\! \left(x \right)<br />
  
    F_{641}\! \left(x \right) = F_{642}\! \left(x \right)<br />
  
    F_{642}\! \left(x \right) = F_{277}\! \left(x \right) F_{58}\! \left(x \right) F_{84}\! \left(x \right)<br />
  
    F_{643}\! \left(x \right) = F_{644}\! \left(x \right)<br />
  
    F_{644}\! \left(x \right) = F_{645}\! \left(x \right)+F_{646}\! \left(x \right)<br />
  
    F_{645}\! \left(x \right) = F_{0}\! \left(x \right) F_{253}\! \left(x \right)<br />
  
    F_{646}\! \left(x \right) = F_{647}\! \left(x \right)<br />
  
    F_{647}\! \left(x \right) = F_{277}\! \left(x \right) F_{5}\! \left(x \right) F_{58}\! \left(x \right)<br />
  
    F_{648}\! \left(x \right) = F_{649}\! \left(x \right)<br />
  
    F_{649}\! \left(x \right) = F_{650}\! \left(x \right)+F_{658}\! \left(x \right)<br />
  
    F_{650}\! \left(x \right) = F_{651}\! \left(x \right)+F_{657}\! \left(x \right)<br />
  
    F_{651}\! \left(x \right) = F_{0}\! \left(x \right) F_{652}\! \left(x \right)<br />
  
    F_{652}\! \left(x \right) = F_{653}\! \left(x \right)+F_{654}\! \left(x \right)<br />
  
    F_{653}\! \left(x \right) = F_{22}\! \left(x \right) F_{36}\! \left(x \right)<br />
  
    F_{654}\! \left(x \right) = F_{655}\! \left(x \right)<br />
  
    F_{655}\! \left(x \right) = F_{22}\! \left(x \right) F_{656}\! \left(x \right)<br />
  
    F_{656}\! \left(x \right) = F_{143}\! \left(x \right)+F_{234}\! \left(x \right)<br />
  
    F_{657}\! \left(x \right) = F_{124}\! \left(x \right)<br />
  
    F_{658}\! \left(x \right) = -F_{687}\! \left(x \right)+F_{659}\! \left(x \right)<br />
  
    F_{659}\! \left(x \right) = F_{660}\! \left(x \right)<br />
  
    F_{660}\! \left(x \right) = -F_{674}\! \left(x \right)+F_{661}\! \left(x \right)<br />
  
    F_{661}\! \left(x \right) = \frac{F_{662}\! \left(x \right)}{F_{22}\! \left(x \right)}<br />
  
    F_{662}\! \left(x \right) = F_{663}\! \left(x \right)<br />
  
    F_{663}\! \left(x \right) = -F_{666}\! \left(x \right)+F_{664}\! \left(x \right)<br />
  
    F_{664}\! \left(x \right) = F_{665}\! \left(x \right)<br />
  
    F_{665}\! \left(x \right) = F_{22}\! \left(x \right) F_{617}\! \left(x \right)<br />
  
    F_{666}\! \left(x \right) = F_{667}\! \left(x \right)<br />
  
    F_{667}\! \left(x \right) = F_{22}\! \left(x \right) F_{668}\! \left(x \right)<br />
  
    F_{668}\! \left(x \right) = F_{669}\! \left(x \right)+F_{671}\! \left(x \right)<br />
  
    F_{669}\! \left(x \right) = F_{594}\! \left(x \right)+F_{670}\! \left(x \right)<br />
  
    F_{670}\! \left(x \right) = F_{134}\! \left(x \right)<br />
  
    F_{671}\! \left(x \right) = F_{672}\! \left(x \right)<br />
  
    F_{672}\! \left(x \right) = F_{22}\! \left(x \right) F_{673}\! \left(x \right)<br />
  
    F_{673}\! \left(x \right) = F_{136}\! \left(x \right)+F_{632}\! \left(x \right)<br />
  
    F_{674}\! \left(x \right) = -F_{677}\! \left(x \right)+F_{675}\! \left(x \right)<br />
  
    F_{675}\! \left(x \right) = \frac{F_{676}\! \left(x \right)}{F_{22}\! \left(x \right)}<br />
  
    F_{676}\! \left(x \right) = F_{663}\! \left(x \right)<br />
  
    F_{677}\! \left(x \right) = F_{678}\! \left(x \right)<br />
  
    F_{678}\! \left(x \right) = F_{679}\! \left(x \right)+F_{683}\! \left(x \right)<br />
  
    F_{679}\! \left(x \right) = F_{22}\! \left(x \right) F_{680}\! \left(x \right)<br />
  
    F_{680}\! \left(x \right) = F_{142}\! \left(x \right)+F_{681}\! \left(x \right)<br />
  
    F_{681}\! \left(x \right) = F_{682}\! \left(x \right)<br />
  
    F_{682}\! \left(x \right) = F_{11}\! \left(x \right) F_{58}\! \left(x \right) F_{59}\! \left(x \right)<br />
  
    F_{683}\! \left(x \right) = F_{684}\! \left(x \right)+F_{685}\! \left(x \right)<br />
  
    F_{684}\! \left(x \right) = F_{0}\! \left(x \right) F_{261}\! \left(x \right)<br />
  
    F_{685}\! \left(x \right) = F_{686}\! \left(x \right)<br />
  
    F_{686}\! \left(x \right) = F_{11}\! \left(x \right) F_{247}\! \left(x \right) F_{58}\! \left(x \right)<br />
  
    F_{687}\! \left(x \right) = F_{688}\! \left(x \right)+F_{689}\! \left(x \right)<br />
  
    F_{688}\! \left(x \right) = F_{0}\! \left(x \right) F_{654}\! \left(x \right)<br />
  
    F_{689}\! \left(x \right) = F_{690}\! \left(x \right)<br />
  
    F_{690}\! \left(x \right) = F_{11}\! \left(x \right) F_{126}\! \left(x \right) F_{58}\! \left(x \right)<br />
  
    F_{691}\! \left(x \right) = -F_{694}\! \left(x \right)+F_{692}\! \left(x \right)<br />
  
    F_{692}\! \left(x \right) = F_{132}\! \left(x \right)+F_{693}\! \left(x \right)<br />
  
    F_{693}\! \left(x \right) = F_{620}\! \left(x \right)+F_{69}\! \left(x \right)<br />
  
    F_{694}\! \left(x \right) = F_{650}\! \left(x \right)<br />
  
    F_{695}\! \left(x \right) = F_{696}\! \left(x \right)<br />
  
    F_{696}\! \left(x \right) = \frac{F_{697}\! \left(x \right)}{F_{22}\! \left(x \right) F_{58}\! \left(x \right)}<br />
  
    F_{697}\! \left(x \right) = F_{658}\! \left(x \right)<br />
  
    F_{698}\! \left(x \right) = F_{10}\! \left(x \right) F_{58}\! \left(x \right)<br />
  
    F_{699}\! \left(x \right) = F_{700}\! \left(x \right)<br />
  
    F_{700}\! \left(x \right) = F_{194}\! \left(x \right)+F_{543}\! \left(x \right)<br />
  
  System of equations in sympy syntax:<br />
  
    Eq(F_0(x), F_1(x) + F_2(x))<br />
  
    Eq(F_1(x), 1)<br />
  
    Eq(F_2(x), F_3(x))<br />
  
    Eq(F_3(x), F_22(x)*F_4(x))<br />
  
    Eq(F_4(x), F_0(x) + F_5(x))<br />
  
    Eq(F_5(x), F_6(x) + F_7(x))<br />
  
    Eq(F_6(x), x**2 + 8*x + (F_6(x) + 1)**2*(x**2 + 4*x - 1) + (F_6(x) + 1)*(2*x**2 - 13*x + 3) + F_6(x) - 2)<br />
  
    Eq(F_7(x), F_8(x))<br />
  
    Eq(F_8(x), F_22(x)*F_9(x))<br />
  
    Eq(F_9(x), F_10(x) + F_589(x))<br />
  
    Eq(F_10(x), F_11(x) + F_66(x))<br />
  
    Eq(F_11(x), F_12(x) + F_6(x))<br />
  
    Eq(F_12(x), F_13(x))<br />
  
    Eq(F_13(x), F_14(x)*F_22(x))<br />
  
    Eq(F_14(x), F_15(x) + F_27(x))<br />
  
    Eq(F_15(x), F_16(x)*F_22(x))<br />
  
    Eq(F_16(x), F_17(x)/F_585(x))<br />
  
    Eq(F_17(x), F_18(x) - F_23(x))<br />
  
    Eq(F_18(x), F_19(x))<br />
  
    Eq(F_19(x), F_20(x)*F_22(x))<br />
  
    Eq(F_20(x), F_21(x)/F_22(x))<br />
  
    Eq(F_21(x), F_10(x))<br />
  
    Eq(F_22(x), x)<br />
  
    Eq(F_23(x), F_24(x))<br />
  
    Eq(F_24(x), F_22(x)*F_25(x))<br />
  
    Eq(F_25(x), F_26(x) + F_579(x))<br />
  
    Eq(F_26(x), F_27(x) + F_560(x))<br />
  
    Eq(F_27(x), F_28(x) + F_558(x))<br />
  
    Eq(F_28(x), F_29(x) + F_30(x))<br />
  
    Eq(F_29(x), F_12(x) + F_2(x))<br />
  
    Eq(F_30(x), F_31(x))<br />
  
    Eq(F_31(x), F_22(x)*F_32(x))<br />
  
    Eq(F_32(x), F_33(x) + F_557(x))<br />
  
    Eq(F_33(x), F_34(x) + F_37(x))<br />
  
    Eq(F_34(x), F_35(x)*F_4(x))<br />
  
    Eq(F_35(x), F_16(x) - F_36(x))<br />
  
    Eq(F_36(x), x**2 + 8*x + (x**2 + 4*x - 1)*F_36(x)**2 + (2*x**2 - 13*x + 4)*F_36(x) - 2)<br />
  
    Eq(F_37(x), F_0(x)*F_38(x))<br />
  
    Eq(F_38(x), F_39(x))<br />
  
    Eq(F_39(x), F_22(x)*F_40(x))<br />
  
    Eq(F_40(x), F_41(x))<br />
  
    Eq(F_41(x), -F_235(x) + F_42(x))<br />
  
    Eq(F_42(x), F_43(x)/F_22(x))<br />
  
    Eq(F_43(x), F_44(x))<br />
  
    Eq(F_44(x), F_45(x))<br />
  
    Eq(F_45(x), F_22(x)*F_46(x))<br />
  
    Eq(F_46(x), F_172(x) + F_47(x))<br />
  
    Eq(F_47(x), F_48(x) + F_49(x))<br />
  
    Eq(F_48(x), F_44(x) + F_6(x))<br />
  
    Eq(F_49(x), F_50(x))<br />
  
    Eq(F_50(x), F_22(x)*F_48(x)*F_51(x))<br />
  
    Eq(F_51(x), F_52(x) + F_61(x))<br />
  
    Eq(F_52(x), F_53(x) + F_56(x))<br />
  
    Eq(F_53(x), F_1(x) + F_54(x))<br />
  
    Eq(F_54(x), F_55(x))<br />
  
    Eq(F_55(x), F_22(x)*F_53(x))<br />
  
    Eq(F_56(x), F_57(x))<br />
  
    Eq(F_57(x), F_22(x)*F_52(x)*F_53(x)*F_58(x))<br />
  
    Eq(F_58(x), F_1(x) + F_59(x))<br />
  
    Eq(F_59(x), F_60(x))<br />
  
    Eq(F_60(x), F_22(x)*F_52(x))<br />
  
    Eq(F_61(x), F_62(x)/F_11(x))<br />
  
    Eq(F_62(x), F_63(x))<br />
  
    Eq(F_63(x), -F_152(x) + F_64(x))<br />
  
    Eq(F_64(x), F_65(x)/F_22(x))<br />
  
    Eq(F_65(x), F_66(x))<br />
  
    Eq(F_66(x), F_67(x))<br />
  
    Eq(F_67(x), F_22(x)*F_68(x))<br />
  
    Eq(F_68(x), F_132(x) + F_69(x))<br />
  
    Eq(F_69(x), F_123(x) + F_70(x))<br />
  
    Eq(F_70(x), F_71(x))<br />
  
    Eq(F_71(x), F_22(x)*F_58(x)*F_72(x))<br />
  
    Eq(F_72(x), F_73(x) + F_77(x))<br />
  
    Eq(F_73(x), F_74(x) + F_76(x))<br />
  
    Eq(F_74(x), F_75(x)/F_22(x))<br />
  
    Eq(F_75(x), F_5(x))<br />
  
    Eq(F_76(x), F_0(x)*F_6(x))<br />
  
    Eq(F_77(x), F_104(x) + F_78(x))<br />
  
    Eq(F_78(x), F_79(x))<br />
  
    Eq(F_79(x), F_22(x)*F_80(x))<br />
  
    Eq(F_80(x), F_81(x) + F_82(x))<br />
  
    Eq(F_81(x), F_51(x)*F_74(x))<br />
  
    Eq(F_82(x), F_83(x))<br />
  
    Eq(F_83(x), F_61(x)*F_84(x))<br />
  
    Eq(F_84(x), F_85(x) - F_90(x))<br />
  
    Eq(F_85(x), F_86(x)/F_22(x))<br />
  
    Eq(F_86(x), F_87(x))<br />
  
    Eq(F_87(x), F_11(x) + F_88(x))<br />
  
    Eq(F_88(x), F_89(x))<br />
  
    Eq(F_89(x), F_0(x)*F_22(x)*F_6(x))<br />
  
    Eq(F_90(x), F_91(x))<br />
  
    Eq(F_91(x), F_0(x)*F_22(x)*F_92(x))<br />
  
    Eq(F_92(x), F_93(x)/F_0(x))<br />
  
    Eq(F_93(x), F_94(x) - F_99(x))<br />
  
    Eq(F_94(x), F_95(x)/F_22(x))<br />
  
    Eq(F_95(x), F_96(x))<br />
  
    Eq(F_96(x), -F_0(x) + F_97(x))<br />
  
    Eq(F_97(x), F_98(x)/F_22(x))<br />
  
    Eq(F_98(x), F_2(x))<br />
  
    Eq(F_99(x), F_100(x) - F_103(x))<br />
  
    Eq(F_100(x), F_101(x)/F_22(x))<br />
  
    Eq(F_101(x), F_102(x))<br />
  
    Eq(F_102(x), -F_6(x) + F_96(x))<br />
  
    Eq(F_103(x), F_2(x)*F_92(x))<br />
  
    Eq(F_104(x), F_0(x)*F_105(x))<br />
  
    Eq(F_105(x), F_106(x) - F_6(x))<br />
  
    Eq(F_106(x), F_107(x) - F_58(x))<br />
  
    Eq(F_107(x), F_108(x)/F_118(x))<br />
  
    Eq(F_108(x), F_109(x) - F_111(x))<br />
  
    Eq(F_109(x), F_110(x)/F_22(x))<br />
  
    Eq(F_110(x), F_96(x))<br />
  
    Eq(F_111(x), F_112(x) - F_114(x))<br />
  
    Eq(F_112(x), F_113(x)/F_22(x))<br />
  
    Eq(F_113(x), F_102(x))<br />
  
    Eq(F_114(x), F_107(x)*F_115(x))<br />
  
    Eq(F_115(x), F_116(x))<br />
  
    Eq(F_116(x), F_117(x)*F_22(x))<br />
  
    Eq(F_117(x), F_118(x) + F_119(x))<br />
  
    Eq(F_118(x), F_1(x) + F_115(x))<br />
  
    Eq(F_119(x), F_120(x) + F_54(x))<br />
  
    Eq(F_120(x), F_121(x))<br />
  
    Eq(F_121(x), F_122(x)*F_22(x))<br />
  
    Eq(F_122(x), F_115(x) + F_120(x))<br />
  
    Eq(F_123(x), F_124(x))<br />
  
    Eq(F_124(x), F_11(x)*F_125(x)*F_58(x))<br />
  
    Eq(F_125(x), F_126(x) + F_22(x))<br />
  
    Eq(F_126(x), F_127(x))<br />
  
    Eq(F_127(x), F_128(x)*F_22(x))<br />
  
    Eq(F_128(x), F_129(x) + F_59(x))<br />
  
    Eq(F_129(x), F_130(x))<br />
  
    Eq(F_130(x), F_131(x)*F_22(x)*F_58(x)**2)<br />
  
    Eq(F_131(x), F_129(x) + F_58(x))<br />
  
    Eq(F_132(x), F_133(x))<br />
  
    Eq(F_133(x), F_134(x) + F_138(x))<br />
  
    Eq(F_134(x), F_135(x)*F_22(x))<br />
  
    Eq(F_135(x), F_136(x) + F_137(x))<br />
  
    Eq(F_136(x), F_0(x)*F_36(x))<br />
  
    Eq(F_137(x), F_5(x)*F_58(x))<br />
  
    Eq(F_138(x), F_139(x))<br />
  
    Eq(F_139(x), F_140(x)*F_22(x))<br />
  
    Eq(F_140(x), F_141(x) + F_146(x))<br />
  
    Eq(F_141(x), F_142(x) + F_144(x))<br />
  
    Eq(F_142(x), F_0(x)*F_143(x))<br />
  
    Eq(F_143(x), F_105(x) + F_59(x))<br />
  
    Eq(F_144(x), F_145(x))<br />
  
    Eq(F_145(x), F_5(x)*F_58(x)*F_59(x))<br />
  
    Eq(F_146(x), F_147(x))<br />
  
    Eq(F_147(x), F_148(x)*F_22(x))<br />
  
    Eq(F_148(x), F_149(x) + F_151(x))<br />
  
    Eq(F_149(x), F_131(x)*F_150(x))<br />
  
    Eq(F_150(x), F_135(x) + F_141(x))<br />
  
    Eq(F_151(x), F_146(x)*F_58(x))<br />
  
    Eq(F_152(x), F_153(x) + F_154(x))<br />
  
    Eq(F_153(x), F_5(x)*F_52(x))<br />
  
    Eq(F_154(x), F_155(x))<br />
  
    Eq(F_155(x), F_156(x)*F_22(x))<br />
  
    Eq(F_156(x), F_157(x) + F_167(x))<br />
  
    Eq(F_157(x), F_158(x)*F_53(x))<br />
  
    Eq(F_158(x), F_153(x) + F_159(x))<br />
  
    Eq(F_159(x), F_160(x) - F_162(x))<br />
  
    Eq(F_160(x), F_161(x)/F_22(x))<br />
  
    Eq(F_161(x), F_5(x))<br />
  
    Eq(F_162(x), F_163(x) - F_165(x))<br />
  
    Eq(F_163(x), F_164(x)/F_22(x))<br />
  
    Eq(F_164(x), F_7(x))<br />
  
    Eq(F_165(x), F_166(x)*F_2(x))<br />
  
    Eq(F_166(x), F_159(x)/F_0(x))<br />
  
    Eq(F_167(x), F_168(x))<br />
  
    Eq(F_168(x), F_169(x)*F_22(x)*F_53(x))<br />
  
    Eq(F_169(x), F_170(x) + F_171(x))<br />
  
    Eq(F_170(x), F_156(x)*F_58(x))<br />
  
    Eq(F_171(x), F_129(x)*F_158(x))<br />
  
    Eq(F_172(x), F_173(x) - F_554(x))<br />
  
    Eq(F_173(x), F_174(x) + F_553(x))<br />
  
    Eq(F_174(x), F_175(x) + F_545(x))<br />
  
    Eq(F_175(x), F_176(x) + F_48(x))<br />
  
    Eq(F_176(x), F_177(x))<br />
  
    Eq(F_177(x), F_178(x)*F_22(x))<br />
  
    Eq(F_178(x), F_179(x))<br />
  
    Eq(F_179(x), F_180(x)*F_22(x))<br />
  
    Eq(F_180(x), F_181(x)/F_22(x))<br />
  
    Eq(F_181(x), F_182(x))<br />
  
    Eq(F_182(x), F_183(x) - F_350(x))<br />
  
    Eq(F_183(x), F_184(x)/(F_0(x)*F_22(x)))<br />
  
    Eq(F_184(x), F_185(x))<br />
  
    Eq(F_185(x), F_11(x) + F_186(x))<br />
  
    Eq(F_186(x), F_187(x))<br />
  
    Eq(F_187(x), F_188(x)*F_22(x))<br />
  
    Eq(F_188(x), F_189(x) + F_192(x))<br />
  
    Eq(F_189(x), F_185(x) + F_190(x))<br />
  
    Eq(F_190(x), F_191(x))<br />
  
    Eq(F_191(x), F_185(x)*F_22(x)*F_51(x))<br />
  
    Eq(F_192(x), F_193(x) + F_195(x))<br />
  
    Eq(F_193(x), F_185(x) + F_194(x))<br />
  
    Eq(F_194(x), F_37(x))<br />
  
    Eq(F_195(x), F_196(x) + F_543(x))<br />
  
    Eq(F_196(x), F_197(x))<br />
  
    Eq(F_197(x), F_198(x)*F_22(x))<br />
  
    Eq(F_198(x), F_199(x) + F_541(x))<br />
  
    Eq(F_199(x), F_200(x) + F_204(x))<br />
  
    Eq(F_200(x), F_201(x))<br />
  
    Eq(F_201(x), F_11(x)*F_202(x))<br />
  
    Eq(F_202(x), F_203(x)/F_22(x))<br />
  
    Eq(F_203(x), F_61(x))<br />
  
    Eq(F_204(x), F_205(x) + F_539(x))<br />
  
    Eq(F_205(x), F_0(x)*F_206(x))<br />
  
    Eq(F_206(x), F_207(x) - F_433(x))<br />
  
    Eq(F_207(x), F_208(x))<br />
  
    Eq(F_208(x), F_209(x) - F_324(x))<br />
  
    Eq(F_209(x), F_210(x)/F_22(x))<br />
  
    Eq(F_210(x), F_211(x))<br />
  
    Eq(F_211(x), F_212(x) + F_222(x))<br />
  
    Eq(F_212(x), F_213(x) + F_221(x))<br />
  
    Eq(F_213(x), F_214(x) + F_215(x))<br />
  
    Eq(F_214(x), F_16(x) - F_36(x))<br />
  
    Eq(F_215(x), F_216(x))<br />
  
    Eq(F_216(x), F_217(x)*F_22(x))<br />
  
    Eq(F_217(x), F_211(x) + F_218(x))<br />
  
    Eq(F_218(x), F_213(x) + F_219(x))<br />
  
    Eq(F_219(x), F_220(x))<br />
  
    Eq(F_220(x), F_213(x)*F_22(x)*F_51(x))<br />
  
    Eq(F_221(x), F_38(x))<br />
  
    Eq(F_222(x), F_223(x) - F_320(x))<br />
  
    Eq(F_223(x), F_224(x) + F_315(x))<br />
  
    Eq(F_224(x), F_225(x) - F_309(x))<br />
  
    Eq(F_225(x), F_226(x))<br />
  
    Eq(F_226(x), F_22(x)*F_227(x))<br />
  
    Eq(F_227(x), F_228(x) + F_307(x))<br />
  
    Eq(F_228(x), F_229(x)/(F_22(x)*F_58(x)))<br />
  
    Eq(F_229(x), F_230(x))<br />
  
    Eq(F_230(x), F_231(x) - F_289(x))<br />
  
    Eq(F_231(x), F_232(x) + F_270(x))<br />
  
    Eq(F_232(x), F_233(x) + F_253(x))<br />
  
    Eq(F_233(x), F_107(x) + F_234(x))<br />
  
    Eq(F_234(x), F_235(x))<br />
  
    Eq(F_235(x), F_236(x))<br />
  
    Eq(F_236(x), F_22(x)*F_237(x)*F_58(x))<br />
  
    Eq(F_237(x), F_238(x) + F_239(x))<br />
  
    Eq(F_238(x), F_107(x)*F_131(x))<br />
  
    Eq(F_239(x), F_240(x) + F_241(x))<br />
  
    Eq(F_240(x), -F_131(x) + F_233(x))<br />
  
    Eq(F_241(x), F_242(x)*F_6(x))<br />
  
    Eq(F_242(x), F_243(x)/F_22(x))<br />
  
    Eq(F_243(x), F_244(x))<br />
  
    Eq(F_244(x), -F_126(x) + F_245(x))<br />
  
    Eq(F_245(x), F_246(x) + F_247(x))<br />
  
    Eq(F_246(x), F_22(x)*F_59(x))<br />
  
    Eq(F_247(x), F_248(x))<br />
  
    Eq(F_248(x), F_22(x)*F_249(x)*F_58(x))<br />
  
    Eq(F_249(x), F_250(x) + F_251(x))<br />
  
    Eq(F_250(x), F_125(x)*F_131(x))<br />
  
    Eq(F_251(x), F_252(x)*F_58(x))<br />
  
    Eq(F_252(x), F_125(x) + F_244(x))<br />
  
    Eq(F_253(x), F_254(x) - F_258(x))<br />
  
    Eq(F_254(x), F_255(x)/F_22(x))<br />
  
    Eq(F_255(x), F_256(x))<br />
  
    Eq(F_256(x), F_22(x)*F_257(x))<br />
  
    Eq(F_257(x), F_258(x) + F_266(x))<br />
  
    Eq(F_258(x), F_233(x) + F_259(x))<br />
  
    Eq(F_259(x), F_260(x) + F_261(x))<br />
  
    Eq(F_260(x), F_107(x)*F_22(x))<br />
  
    Eq(F_261(x), F_262(x))<br />
  
    Eq(F_262(x), F_22(x)*F_263(x))<br />
  
    Eq(F_263(x), F_264(x) + F_265(x))<br />
  
    Eq(F_264(x), F_125(x)*F_237(x))<br />
  
    Eq(F_265(x), F_107(x)*F_252(x)*F_58(x))<br />
  
    Eq(F_266(x), F_267(x))<br />
  
    Eq(F_267(x), F_260(x) + F_268(x))<br />
  
    Eq(F_268(x), F_269(x))<br />
  
    Eq(F_269(x), F_107(x)*F_22(x)*F_249(x))<br />
  
    Eq(F_270(x), F_271(x))<br />
  
    Eq(F_271(x), F_22(x)*F_272(x))<br />
  
    Eq(F_272(x), F_273(x) + F_276(x))<br />
  
    Eq(F_273(x), F_131(x)*F_274(x))<br />
  
    Eq(F_274(x), F_275(x)/F_22(x))<br />
  
    Eq(F_275(x), F_35(x))<br />
  
    Eq(F_276(x), F_16(x)*F_277(x)*F_58(x))<br />
  
    Eq(F_277(x), F_278(x)/F_4(x))<br />
  
    Eq(F_278(x), F_279(x) - F_283(x))<br />
  
    Eq(F_279(x), F_280(x)/F_22(x))<br />
  
    Eq(F_280(x), F_281(x))<br />
  
    Eq(F_281(x), F_22(x)*F_282(x))<br />
  
    Eq(F_282(x), F_283(x) + F_287(x))<br />
  
    Eq(F_283(x), F_284(x) + F_285(x))<br />
  
    Eq(F_284(x), F_131(x)*F_4(x))<br />
  
    Eq(F_285(x), F_252(x)*F_286(x))<br />
  
    Eq(F_286(x), F_0(x) + F_11(x))<br />
  
    Eq(F_287(x), F_288(x))<br />
  
    Eq(F_288(x), F_252(x)*F_4(x))<br />
  
    Eq(F_289(x), F_290(x) + F_293(x))<br />
  
    Eq(F_290(x), F_107(x) + F_291(x))<br />
  
    Eq(F_291(x), F_292(x))<br />
  
    Eq(F_292(x), F_22(x)*F_274(x)*F_58(x))<br />
  
    Eq(F_293(x), F_294(x) - F_301(x))<br />
  
    Eq(F_294(x), F_295(x)/F_22(x))<br />
  
    Eq(F_295(x), F_296(x))<br />
  
    Eq(F_296(x), F_214(x) + F_297(x))<br />
  
    Eq(F_297(x), F_298(x))<br />
  
    Eq(F_298(x), F_22(x)*F_299(x))<br />
  
    Eq(F_299(x), F_300(x) + F_6(x))<br />
  
    Eq(F_300(x), F_59(x)*F_6(x))<br />
  
    Eq(F_301(x), F_290(x) + F_302(x))<br />
  
    Eq(F_302(x), F_303(x))<br />
  
    Eq(F_303(x), F_22(x)*F_304(x))<br />
  
    Eq(F_304(x), F_107(x) + F_305(x))<br />
  
    Eq(F_305(x), F_306(x))<br />
  
    Eq(F_306(x), F_58(x)**2*F_6(x))<br />
  
    Eq(F_307(x), F_308(x))<br />
  
    Eq(F_308(x), F_252(x)*F_304(x))<br />
  
    Eq(F_309(x), F_310(x) + F_311(x))<br />
  
    Eq(F_310(x), F_214(x)*F_58(x))<br />
  
    Eq(F_311(x), F_312(x))<br />
  
    Eq(F_312(x), F_125(x)*F_22(x)*F_313(x))<br />
  
    Eq(F_313(x), F_16(x) + F_314(x))<br />
  
    Eq(F_314(x), F_306(x))<br />
  
    Eq(F_315(x), F_316(x))<br />
  
    Eq(F_316(x), F_317(x))<br />
  
    Eq(F_317(x), F_22(x)*F_318(x)*F_58(x)*F_6(x))<br />
  
    Eq(F_318(x), F_319(x)/(F_22(x)*F_58(x)))<br />
  
    Eq(F_319(x), F_244(x))<br />
  
    Eq(F_320(x), F_321(x))<br />
  
    Eq(F_321(x), -F_311(x) + F_322(x))<br />
  
    Eq(F_322(x), F_323(x))<br />
  
    Eq(F_323(x), F_22(x)*F_252(x)*F_313(x))<br />
  
    Eq(F_324(x), F_325(x) + F_329(x))<br />
  
    Eq(F_325(x), F_326(x) - F_536(x))<br />
  
    Eq(F_326(x), F_327(x) - F_415(x))<br />
  
    Eq(F_327(x), F_328(x) + F_336(x))<br />
  
    Eq(F_328(x), F_209(x) - F_329(x))<br />
  
    Eq(F_329(x), F_330(x) + F_332(x))<br />
  
    Eq(F_330(x), F_331(x)/F_22(x))<br />
  
    Eq(F_331(x), F_38(x))<br />
  
    Eq(F_332(x), F_333(x))<br />
  
    Eq(F_333(x), F_334(x)*F_6(x))<br />
  
    Eq(F_334(x), F_335(x)/F_22(x))<br />
  
    Eq(F_335(x), F_244(x))<br />
  
    Eq(F_336(x), F_337(x))<br />
  
    Eq(F_337(x), F_22(x)*F_338(x))<br />
  
    Eq(F_338(x), F_339(x)/F_22(x)**2)<br />
  
    Eq(F_339(x), F_340(x))<br />
  
    Eq(F_340(x), F_341(x) - F_412(x))<br />
  
    Eq(F_341(x), F_342(x) - F_408(x))<br />
  
    Eq(F_342(x), F_343(x) + F_393(x))<br />
  
    Eq(F_343(x), F_344(x) - F_387(x))<br />
  
    Eq(F_344(x), F_345(x) + F_354(x))<br />
  
    Eq(F_345(x), F_212(x) + F_346(x))<br />
  
    Eq(F_346(x), F_347(x))<br />
  
    Eq(F_347(x), F_22(x)**2*F_348(x))<br />
  
    Eq(F_348(x), F_330(x) + F_349(x))<br />
  
    Eq(F_349(x), F_350(x) + F_352(x))<br />
  
    Eq(F_350(x), F_351(x)/F_22(x))<br />
  
    Eq(F_351(x), F_48(x))<br />
  
    Eq(F_352(x), F_353(x))<br />
  
    Eq(F_353(x), F_202(x)*F_6(x))<br />
  
    Eq(F_354(x), F_355(x) + F_356(x))<br />
  
    Eq(F_355(x), F_218(x) + F_222(x))<br />
  
    Eq(F_356(x), F_357(x))<br />
  
    Eq(F_357(x), F_22(x)**2*F_358(x))<br />
  
    Eq(F_358(x), F_359(x) + F_363(x))<br />
  
    Eq(F_359(x), F_360(x)/F_22(x))<br />
  
    Eq(F_360(x), F_361(x))<br />
  
    Eq(F_361(x), -F_362(x) + F_46(x))<br />
  
    Eq(F_362(x), F_38(x) + F_48(x))<br />
  
    Eq(F_363(x), F_364(x))<br />
  
    Eq(F_364(x), F_365(x)*F_58(x)*F_6(x))<br />
  
    Eq(F_365(x), F_366(x)/(F_22(x)*F_53(x)))<br />
  
    Eq(F_366(x), F_367(x))<br />
  
    Eq(F_367(x), F_22(x)*F_368(x)*F_52(x)*F_58(x))<br />
  
    Eq(F_368(x), F_369(x)/(F_118(x)*F_22(x)))<br />
  
    Eq(F_369(x), F_370(x))<br />
  
    Eq(F_370(x), F_22(x)*F_371(x))<br />
  
    Eq(F_371(x), F_372(x) + F_373(x))<br />
  
    Eq(F_372(x), F_118(x)*F_131(x))<br />
  
    Eq(F_373(x), F_374(x)*F_58(x))<br />
  
    Eq(F_374(x), F_22(x) + F_375(x))<br />
  
    Eq(F_375(x), F_376(x) + F_377(x) + F_386(x))<br />
  
    Eq(F_376(x), 0)<br />
  
    Eq(F_377(x), F_22(x)*F_378(x))<br />
  
    Eq(F_378(x), F_374(x) + F_379(x))<br />
  
    Eq(F_379(x), F_380(x) + F_383(x))<br />
  
    Eq(F_380(x), F_381(x))<br />
  
    Eq(F_381(x), F_22(x)*F_382(x))<br />
  
    Eq(F_382(x), F_22(x) + F_380(x))<br />
  
    Eq(F_383(x), F_384(x))<br />
  
    Eq(F_384(x), F_22(x)*F_385(x))<br />
  
    Eq(F_385(x), F_375(x) + F_383(x))<br />
  
    Eq(F_386(x), F_22(x)*F_54(x))<br />
  
    Eq(F_387(x), F_218(x) + F_388(x))<br />
  
    Eq(F_388(x), F_389(x))<br />
  
    Eq(F_389(x), F_22(x)*F_390(x))<br />
  
    Eq(F_390(x), F_391(x) + F_47(x))<br />
  
    Eq(F_391(x), F_392(x))<br />
  
    Eq(F_392(x), F_129(x)*F_58(x)*F_6(x))<br />
  
    Eq(F_393(x), F_394(x))<br />
  
    Eq(F_394(x), F_22(x)*F_395(x))<br />
  
    Eq(F_395(x), F_396(x) + F_407(x))<br />
  
    Eq(F_396(x), F_397(x) - F_406(x))<br />
  
    Eq(F_397(x), F_398(x) - F_405(x))<br />
  
    Eq(F_398(x), F_399(x)/F_22(x))<br />
  
    Eq(F_399(x), F_400(x))<br />
  
    Eq(F_400(x), F_22(x)*F_401(x))<br />
  
    Eq(F_401(x), F_402(x) + F_403(x))<br />
  
    Eq(F_402(x), F_291(x) + F_293(x))<br />
  
    Eq(F_403(x), F_404(x))<br />
  
    Eq(F_404(x), F_22(x)*F_58(x)**2*F_6(x))<br />
  
    Eq(F_405(x), F_16(x)*F_22(x)*F_59(x))<br />
  
    Eq(F_406(x), F_16(x)*F_59(x))<br />
  
    Eq(F_407(x), F_129(x)*F_299(x))<br />
  
    Eq(F_408(x), F_409(x))<br />
  
    Eq(F_409(x), F_410(x)*F_411(x))<br />
  
    Eq(F_410(x), F_316(x) + F_38(x))<br />
  
    Eq(F_411(x), F_1(x) + F_22(x))<br />
  
    Eq(F_412(x), F_413(x) - F_414(x))<br />
  
    Eq(F_413(x), F_211(x) + F_393(x))<br />
  
    Eq(F_414(x), F_410(x))<br />
  
    Eq(F_415(x), F_416(x))<br />
  
    Eq(F_416(x), F_417(x) - F_531(x))<br />
  
    Eq(F_417(x), F_418(x) + F_521(x))<br />
  
    Eq(F_418(x), F_419(x) + F_520(x))<br />
  
    Eq(F_419(x), F_420(x) + F_431(x))<br />
  
    Eq(F_420(x), F_329(x) + F_421(x))<br />
  
    Eq(F_421(x), F_422(x)/F_22(x))<br />
  
    Eq(F_422(x), F_423(x))<br />
  
    Eq(F_423(x), F_424(x)/F_411(x))<br />
  
    Eq(F_424(x), F_425(x) - F_428(x))<br />
  
    Eq(F_425(x), F_426(x) + F_430(x))<br />
  
    Eq(F_426(x), -F_410(x) + F_427(x))<br />
  
    Eq(F_427(x), F_172(x) + F_428(x))<br />
  
    Eq(F_428(x), F_429(x))<br />
  
    Eq(F_429(x), F_22(x)*F_396(x))<br />
  
    Eq(F_430(x), F_22(x)*F_423(x))<br />
  
    Eq(F_431(x), F_432(x))<br />
  
    Eq(F_432(x), F_182(x) + F_433(x))<br />
  
    Eq(F_433(x), F_434(x))<br />
  
    Eq(F_434(x), F_435(x)*F_6(x))<br />
  
    Eq(F_435(x), F_436(x)/(F_118(x)*F_53(x)))<br />
  
    Eq(F_436(x), F_437(x))<br />
  
    Eq(F_437(x), F_438(x) - F_509(x))<br />
  
    Eq(F_438(x), F_439(x)/F_22(x))<br />
  
    Eq(F_439(x), F_440(x))<br />
  
    Eq(F_440(x), F_441(x) - F_491(x))<br />
  
    Eq(F_441(x), F_442(x)/F_22(x))<br />
  
    Eq(F_442(x), F_443(x))<br />
  
    Eq(F_443(x), F_444(x) - F_490(x))<br />
  
    Eq(F_444(x), F_445(x) - F_464(x))<br />
  
    Eq(F_445(x), F_446(x)/F_22(x))<br />
  
    Eq(F_446(x), F_447(x))<br />
  
    Eq(F_447(x), -F_2(x) + F_448(x))<br />
  
    Eq(F_448(x), F_449(x) - F_451(x))<br />
  
    Eq(F_449(x), F_450(x)/F_22(x))<br />
  
    Eq(F_450(x), F_2(x))<br />
  
    Eq(F_451(x), F_1(x) + F_452(x))<br />
  
    Eq(F_452(x), F_453(x))<br />
  
    Eq(F_453(x), F_22(x)*F_454(x))<br />
  
    Eq(F_454(x), F_451(x) + F_455(x))<br />
  
    Eq(F_455(x), F_115(x) + F_456(x))<br />
  
    Eq(F_456(x), F_376(x) + F_457(x) + F_460(x))<br />
  
    Eq(F_457(x), F_22(x)*F_458(x))<br />
  
    Eq(F_458(x), F_459(x))<br />
  
    Eq(F_459(x), F_452(x) + F_456(x))<br />
  
    Eq(F_460(x), F_22(x)*F_461(x))<br />
  
    Eq(F_461(x), F_462(x) + F_463(x))<br />
  
    Eq(F_462(x), F_54(x))<br />
  
    Eq(F_463(x), F_120(x))<br />
  
    Eq(F_464(x), F_465(x) - F_468(x))<br />
  
    Eq(F_465(x), F_466(x)/F_22(x))<br />
  
    Eq(F_466(x), F_467(x))<br />
  
    Eq(F_467(x), F_447(x) + F_452(x))<br />
  
    Eq(F_468(x), F_469(x) + F_470(x))<br />
  
    Eq(F_469(x), F_451(x)*F_58(x))<br />
  
    Eq(F_470(x), F_471(x))<br />
  
    Eq(F_471(x), F_22(x)*F_472(x))<br />
  
    Eq(F_472(x), F_473(x) + F_489(x))<br />
  
    Eq(F_473(x), F_474(x) + F_475(x))<br />
  
    Eq(F_474(x), F_131(x)*F_454(x))<br />
  
    Eq(F_475(x), F_476(x))<br />
  
    Eq(F_476(x), F_477(x) - F_481(x))<br />
  
    Eq(F_477(x), F_478(x)/F_22(x))<br />
  
    Eq(F_478(x), F_479(x))<br />
  
    Eq(F_479(x), F_22(x)*F_480(x))<br />
  
    Eq(F_480(x), F_481(x) + F_487(x))<br />
  
    Eq(F_481(x), F_482(x) + F_485(x))<br />
  
    Eq(F_482(x), F_131(x)*F_483(x))<br />
  
    Eq(F_483(x), F_454(x) + F_484(x))<br />
  
    Eq(F_484(x), F_118(x)*F_54(x))<br />
  
    Eq(F_485(x), F_486(x))<br />
  
    Eq(F_486(x), F_118(x)*F_277(x)*F_53(x))<br />
  
    Eq(F_487(x), F_488(x))<br />
  
    Eq(F_488(x), F_118(x)*F_252(x)*F_53(x))<br />
  
    Eq(F_489(x), F_486(x))<br />
  
    Eq(F_490(x), F_451(x)*F_59(x))<br />
  
    Eq(F_491(x), F_492(x))<br />
  
    Eq(F_492(x), F_22(x)*F_493(x))<br />
  
    Eq(F_493(x), F_494(x) + F_507(x))<br />
  
    Eq(F_494(x), F_495(x) + F_505(x))<br />
  
    Eq(F_495(x), F_496(x)*F_52(x))<br />
  
    Eq(F_496(x), F_497(x) + F_503(x))<br />
  
    Eq(F_497(x), F_454(x) + F_498(x))<br />
  
    Eq(F_498(x), F_22(x) + F_499(x))<br />
  
    Eq(F_499(x), F_376(x) + F_500(x) + F_501(x))<br />
  
    Eq(F_500(x), F_115(x)*F_22(x))<br />
  
    Eq(F_501(x), F_22(x)*F_502(x))<br />
  
    Eq(F_502(x), F_498(x))<br />
  
    Eq(F_503(x), F_504(x))<br />
  
    Eq(F_504(x), F_118(x)*F_22(x)*F_53(x))<br />
  
    Eq(F_505(x), F_506(x))<br />
  
    Eq(F_506(x), F_118(x)*F_53(x)*F_61(x))<br />
  
    Eq(F_507(x), F_508(x))<br />
  
    Eq(F_508(x), F_118(x)*F_202(x)*F_22(x)*F_53(x))<br />
  
    Eq(F_509(x), F_510(x) + F_511(x))<br />
  
    Eq(F_510(x), F_202(x)*F_454(x))<br />
  
    Eq(F_511(x), F_512(x))<br />
  
    Eq(F_512(x), F_513(x) - F_515(x))<br />
  
    Eq(F_513(x), F_514(x)/F_22(x))<br />
  
    Eq(F_514(x), F_440(x))<br />
  
    Eq(F_515(x), F_516(x) - F_518(x))<br />
  
    Eq(F_516(x), F_517(x)/F_22(x))<br />
  
    Eq(F_517(x), F_440(x))<br />
  
    Eq(F_518(x), F_519(x))<br />
  
    Eq(F_519(x), F_118(x)*F_334(x)*F_53(x))<br />
  
    Eq(F_520(x), F_22(x)*F_420(x))<br />
  
    Eq(F_521(x), F_522(x))<br />
  
    Eq(F_522(x), F_22(x)*F_523(x))<br />
  
    Eq(F_523(x), F_524(x)/F_22(x))<br />
  
    Eq(F_524(x), F_525(x))<br />
  
    Eq(F_525(x), F_526(x) - F_528(x))<br />
  
    Eq(F_526(x), F_527(x)/F_22(x))<br />
  
    Eq(F_527(x), F_296(x))<br />
  
    Eq(F_528(x), F_411(x)*F_529(x))<br />
  
    Eq(F_529(x), F_166(x) + F_530(x))<br />
  
    Eq(F_530(x), F_52(x)*F_6(x))<br />
  
    Eq(F_531(x), F_432(x) + F_532(x))<br />
  
    Eq(F_532(x), F_533(x) + F_535(x))<br />
  
    Eq(F_533(x), F_521(x) + F_534(x))<br />
  
    Eq(F_534(x), F_349(x)*F_411(x))<br />
  
    Eq(F_535(x), F_329(x)*F_411(x))<br />
  
    Eq(F_536(x), F_537(x))<br />
  
    Eq(F_537(x), F_22(x)*F_538(x))<br />
  
    Eq(F_538(x), -F_207(x) + F_338(x))<br />
  
    Eq(F_539(x), F_540(x))<br />
  
    Eq(F_540(x), F_11(x)*F_435(x))<br />
  
    Eq(F_541(x), F_542(x))<br />
  
    Eq(F_542(x), F_0(x)*F_435(x)*F_6(x))<br />
  
    Eq(F_543(x), F_544(x))<br />
  
    Eq(F_544(x), F_11(x)*F_22(x)*F_318(x)*F_58(x))<br />
  
    Eq(F_545(x), F_546(x) - F_551(x))<br />
  
    Eq(F_546(x), F_547(x) + F_549(x))<br />
  
    Eq(F_547(x), F_548(x))<br />
  
    Eq(F_548(x), F_22(x)*F_237(x))<br />
  
    Eq(F_549(x), F_550(x))<br />
  
    Eq(F_550(x), F_252(x)*F_6(x))<br />
  
    Eq(F_551(x), F_552(x)*F_6(x))<br />
  
    Eq(F_552(x), F_125(x) + F_58(x))<br />
  
    Eq(F_553(x), F_410(x))<br />
  
    Eq(F_554(x), F_555(x))<br />
  
    Eq(F_555(x), F_176(x) + F_556(x))<br />
  
    Eq(F_556(x), F_244(x)*F_6(x))<br />
  
    Eq(F_557(x), F_0(x)*F_361(x))<br />
  
    Eq(F_558(x), F_559(x))<br />
  
    Eq(F_559(x), F_16(x)*F_2(x)*F_22(x))<br />
  
    Eq(F_560(x), F_561(x) + F_577(x))<br />
  
    Eq(F_561(x), F_562(x) + F_563(x))<br />
  
    Eq(F_562(x), F_5(x) + F_66(x))<br />
  
    Eq(F_563(x), F_564(x))<br />
  
    Eq(F_564(x), F_22(x)*F_565(x))<br />
  
    Eq(F_565(x), F_566(x) + F_575(x))<br />
  
    Eq(F_566(x), F_567(x) + F_569(x))<br />
  
    Eq(F_567(x), F_568(x))<br />
  
    Eq(F_568(x), F_561(x)*F_58(x))<br />
  
    Eq(F_569(x), F_570(x))<br />
  
    Eq(F_570(x), F_125(x)*F_571(x))<br />
  
    Eq(F_571(x), F_572(x) + F_573(x))<br />
  
    Eq(F_572(x), F_0(x)*F_16(x))<br />
  
    Eq(F_573(x), F_574(x))<br />
  
    Eq(F_574(x), F_5(x)*F_58(x)**2)<br />
  
    Eq(F_575(x), F_576(x))<br />
  
    Eq(F_576(x), F_11(x)*F_125(x)*F_58(x)**2)<br />
  
    Eq(F_577(x), F_578(x))<br />
  
    Eq(F_578(x), F_22(x)*F_5(x)*F_58(x)**2)<br />
  
    Eq(F_579(x), F_580(x))<br />
  
    Eq(F_580(x), F_22(x)*F_581(x))<br />
  
    Eq(F_581(x), F_582(x) + F_583(x))<br />
  
    Eq(F_582(x), F_16(x)*F_2(x))<br />
  
    Eq(F_583(x), F_584(x))<br />
  
    Eq(F_584(x), F_11(x)*F_58(x)**2)<br />
  
    Eq(F_585(x), F_586(x))<br />
  
    Eq(F_586(x), F_22(x)*F_587(x))<br />
  
    Eq(F_587(x), F_411(x) + F_588(x))<br />
  
    Eq(F_588(x), F_22(x))<br />
  
    Eq(F_589(x), F_590(x))<br />
  
    Eq(F_590(x), F_22(x)*F_591(x))<br />
  
    Eq(F_591(x), F_592(x) + F_602(x))<br />
  
    Eq(F_592(x), F_593(x) + F_595(x))<br />
  
    Eq(F_593(x), F_589(x) + F_594(x))<br />
  
    Eq(F_594(x), F_10(x) + F_4(x))<br />
  
    Eq(F_595(x), F_596(x) - F_599(x))<br />
  
    Eq(F_596(x), F_597(x)/F_22(x))<br />
  
    Eq(F_597(x), F_598(x))<br />
  
    Eq(F_598(x), F_10(x) - F_214(x))<br />
  
    Eq(F_599(x), F_600(x) + F_601(x))<br />
  
    Eq(F_600(x), F_0(x)*F_48(x))<br />
  
    Eq(F_601(x), F_11(x)*F_129(x))<br />
  
    Eq(F_602(x), F_603(x) + F_607(x))<br />
  
    Eq(F_603(x), F_604(x) + F_606(x))<br />
  
    Eq(F_604(x), -F_605(x) + F_9(x))<br />
  
    Eq(F_605(x), F_4(x)*F_6(x))<br />
  
    Eq(F_606(x), F_37(x))<br />
  
    Eq(F_607(x), -F_606(x) + F_608(x))<br />
  
    Eq(F_608(x), F_609(x) + F_699(x))<br />
  
    Eq(F_609(x), F_610(x) - F_698(x))<br />
  
    Eq(F_610(x), F_611(x))<br />
  
    Eq(F_611(x), F_22(x)*F_612(x))<br />
  
    Eq(F_612(x), F_613(x) + F_695(x))<br />
  
    Eq(F_613(x), F_614(x)/(F_22(x)*F_58(x)))<br />
  
    Eq(F_614(x), F_615(x))<br />
  
    Eq(F_615(x), F_616(x) - F_691(x))<br />
  
    Eq(F_616(x), F_617(x) - F_648(x))<br />
  
    Eq(F_617(x), F_618(x) + F_643(x))<br />
  
    Eq(F_618(x), F_619(x) + F_637(x))<br />
  
    Eq(F_619(x), F_620(x) + F_625(x))<br />
  
    Eq(F_620(x), F_621(x) - F_623(x))<br />
  
    Eq(F_621(x), F_622(x)/F_22(x))<br />
  
    Eq(F_622(x), F_87(x))<br />
  
    Eq(F_623(x), F_624(x))<br />
  
    Eq(F_624(x), F_0(x)*F_107(x)*F_22(x))<br />
  
    Eq(F_625(x), F_626(x))<br />
  
    Eq(F_626(x), F_22(x)*F_58(x)*F_627(x))<br />
  
    Eq(F_627(x), F_628(x) - F_635(x))<br />
  
    Eq(F_628(x), F_629(x)/F_22(x))<br />
  
    Eq(F_629(x), F_630(x))<br />
  
    Eq(F_630(x), F_631(x) + F_633(x))<br />
  
    Eq(F_631(x), F_196(x) + F_632(x))<br />
  
    Eq(F_632(x), F_11(x)*F_58(x))<br />
  
    Eq(F_633(x), F_634(x))<br />
  
    Eq(F_634(x), F_0(x)*F_16(x)*F_22(x)*F_252(x))<br />
  
    Eq(F_635(x), F_636(x))<br />
  
    Eq(F_636(x), F_0(x)*F_107(x)*F_252(x))<br />
  
    Eq(F_637(x), F_638(x))<br />
  
    Eq(F_638(x), F_22(x)*F_639(x))<br />
  
    Eq(F_639(x), F_640(x) + F_641(x))<br />
  
    Eq(F_640(x), F_131(x)*F_72(x))<br />
  
    Eq(F_641(x), F_642(x))<br />
  
    Eq(F_642(x), F_277(x)*F_58(x)*F_84(x))<br />
  
    Eq(F_643(x), F_644(x))<br />
  
    Eq(F_644(x), F_645(x) + F_646(x))<br />
  
    Eq(F_645(x), F_0(x)*F_253(x))<br />
  
    Eq(F_646(x), F_647(x))<br />
  
    Eq(F_647(x), F_277(x)*F_5(x)*F_58(x))<br />
  
    Eq(F_648(x), F_649(x))<br />
  
    Eq(F_649(x), F_650(x) + F_658(x))<br />
  
    Eq(F_650(x), F_651(x) + F_657(x))<br />
  
    Eq(F_651(x), F_0(x)*F_652(x))<br />
  
    Eq(F_652(x), F_653(x) + F_654(x))<br />
  
    Eq(F_653(x), F_22(x)*F_36(x))<br />
  
    Eq(F_654(x), F_655(x))<br />
  
    Eq(F_655(x), F_22(x)*F_656(x))<br />
  
    Eq(F_656(x), F_143(x) + F_234(x))<br />
  
    Eq(F_657(x), F_124(x))<br />
  
    Eq(F_658(x), F_659(x) - F_687(x))<br />
  
    Eq(F_659(x), F_660(x))<br />
  
    Eq(F_660(x), F_661(x) - F_674(x))<br />
  
    Eq(F_661(x), F_662(x)/F_22(x))<br />
  
    Eq(F_662(x), F_663(x))<br />
  
    Eq(F_663(x), F_664(x) - F_666(x))<br />
  
    Eq(F_664(x), F_665(x))<br />
  
    Eq(F_665(x), F_22(x)*F_617(x))<br />
  
    Eq(F_666(x), F_667(x))<br />
  
    Eq(F_667(x), F_22(x)*F_668(x))<br />
  
    Eq(F_668(x), F_669(x) + F_671(x))<br />
  
    Eq(F_669(x), F_594(x) + F_670(x))<br />
  
    Eq(F_670(x), F_134(x))<br />
  
    Eq(F_671(x), F_672(x))<br />
  
    Eq(F_672(x), F_22(x)*F_673(x))<br />
  
    Eq(F_673(x), F_136(x) + F_632(x))<br />
  
    Eq(F_674(x), F_675(x) - F_677(x))<br />
  
    Eq(F_675(x), F_676(x)/F_22(x))<br />
  
    Eq(F_676(x), F_663(x))<br />
  
    Eq(F_677(x), F_678(x))<br />
  
    Eq(F_678(x), F_679(x) + F_683(x))<br />
  
    Eq(F_679(x), F_22(x)*F_680(x))<br />
  
    Eq(F_680(x), F_142(x) + F_681(x))<br />
  
    Eq(F_681(x), F_682(x))<br />
  
    Eq(F_682(x), F_11(x)*F_58(x)*F_59(x))<br />
  
    Eq(F_683(x), F_684(x) + F_685(x))<br />
  
    Eq(F_684(x), F_0(x)*F_261(x))<br />
  
    Eq(F_685(x), F_686(x))<br />
  
    Eq(F_686(x), F_11(x)*F_247(x)*F_58(x))<br />
  
    Eq(F_687(x), F_688(x) + F_689(x))<br />
  
    Eq(F_688(x), F_0(x)*F_654(x))<br />
  
    Eq(F_689(x), F_690(x))<br />
  
    Eq(F_690(x), F_11(x)*F_126(x)*F_58(x))<br />
  
    Eq(F_691(x), F_692(x) - F_694(x))<br />
  
    Eq(F_692(x), F_132(x) + F_693(x))<br />
  
    Eq(F_693(x), F_620(x) + F_69(x))<br />
  
    Eq(F_694(x), F_650(x))<br />
  
    Eq(F_695(x), F_696(x))<br />
  
    Eq(F_696(x), F_697(x)/(F_22(x)*F_58(x)))<br />
  
    Eq(F_697(x), F_658(x))<br />
  
    Eq(F_698(x), F_10(x)*F_58(x))<br />
  
    Eq(F_699(x), F_700(x))<br />
  
    Eq(F_700(x), F_194(x) + F_543(x))<br />
  
  Pack JSON:<br />{&#34;name&#34;: &#34;point_placements_req_corrob&#34;, &#34;initial_strats&#34;: [{&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorFactory&#34;, &#34;interleaving&#34;: null, &#34;unions&#34;: false, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;tracked&#34;: false}, {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;PointCorroborationFactory&#34;, &#34;ignore_parent&#34;: true}, {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementCorroborationFactory&#34;, &#34;ignore_parent&#34;: true}], &#34;inferral_strats&#34;: [{&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}, {&#34;class_module&#34;: &#34;tilings.strategies.obstruction_inferral&#34;, &#34;strategy_class&#34;: &#34;ObstructionTransitivityFactory&#34;}], &#34;ver_strats&#34;: [{&#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;strategy_class&#34;: &#34;BasicVerificationStrategy&#34;}, {&#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;strategy_class&#34;: &#34;InsertionEncodingVerificationStrategy&#34;, &#34;ignore_parent&#34;: false}, {&#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;strategy_class&#34;: &#34;OneByOneVerificationStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;basis&#34;: [[0, 2, 3, 1, 4], [0, 2, 3, 4, 1], [0, 2, 4, 3, 1], [0, 3, 2, 1, 4], [0, 3, 2, 4, 1], [0, 3, 4, 2, 1], [0, 4, 2, 3, 1], [0, 4, 3, 2, 1], [3, 0, 2, 1, 4], [3, 0, 2, 4, 1], [3, 0, 4, 2, 1]], &#34;symmetry&#34;: false}, {&#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;strategy_class&#34;: &#34;LocallyFactorableVerificationStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;basis&#34;: [[0, 2, 3, 1, 4], [0, 2, 3, 4, 1], [0, 2, 4, 3, 1], [0, 3, 2, 1, 4], [0, 3, 2, 4, 1], [0, 3, 4, 2, 1], [0, 4, 2, 3, 1], [0, 4, 3, 2, 1], [3, 0, 2, 1, 4], [3, 0, 2, 4, 1], [3, 0, 4, 2, 1]], &#34;symmetry&#34;: false}], &#34;expansion_strats&#34;: [[{&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;CellInsertionFactory&#34;, &#34;ignore_parent&#34;: false, &#34;maxreqlen&#34;: 1, &#34;extra_basis&#34;: [], &#34;one_cell_only&#34;: false}, {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;PatternPlacementFactory&#34;, &#34;partial&#34;: false, &#34;ignore_parent&#34;: false, &#34;dirs&#34;: [0, 1, 2, 3], &#34;point_only&#34;: false}]], &#34;symmetries&#34;: [], &#34;iterative&#34;: false}<br />
  Specification JSON:<br />{&#34;root&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 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&#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [2, 0]], [[1, 1]]]}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 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[1, 2], [1, 1], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 3], [2, 0], [2, 2], [2, 3]], [[1, 1]]]}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: 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0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 1], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 2], [2, 0], [2, 2]], [[1, 1]]]}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: 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4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[1, 2], [1, 0], [1, 1], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 1], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 3], [2, 0], [2, 2], [2, 3]], [[1, 1]]]}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], 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[1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[1, 0], [1, 2], [1, 1], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 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{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[3, 0], [3, 2], [3, 2], [3, 0], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[3, 0], [3, 2], [3, 2], [3, 0], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [3, 0], [3, 2], [3, 0], [3, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[2, 2], [3, 0], [3, 2], [3, 0], [3, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[3, 2], [3, 0], [3, 2], [3, 0], [3, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [3, 0], [3, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[2, 2], [3, 0], [3, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[3, 2], [3, 0], [3, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [3, 0], [3, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 1], [2, 0], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[1, 1], [2, 0], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 1], [2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[1, 1], [2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [2, 2], [3, 0], [3, 2]], [[1, 1]]]}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, 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{&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 2], [2, 0], [2, 2]], [[1, 1]]]}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0, 2], 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&#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], 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{&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[1, 0], [1, 1], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[1, 0], [1, 2], [1, 1], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 1], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 1], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[1, 2], [1, 0], [1, 1], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 1], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 1], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 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0, 2, 1, 4], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]}}, &#34;idx&#34;: 1}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], 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[[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 1], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: 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[[1, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]}}, &#34;idx&#34;: 1}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, 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5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 2], [0, 5], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 2], [0, 3], [0, 6], [2, 5], [3, 4]], [[1, 1]]]}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: 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2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: 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[0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, 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{&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}}, &#34;idx&#34;: 1}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: 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[[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1]], [[1, 0], [1, 2], [2, 0], [2, 2]]]}}, &#34;idx&#34;: 1}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], 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1], [1, 0], [1, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 3], [1, 0], [1, 1], [3, 0], [3, 2]], [[2, 4]]]}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, 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[3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 3], [1, 0], [3, 0]], [[2, 2]]]}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]}}, &#34;idx&#34;: 1}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 5], [0, 5], [3, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 5], [0, 5], [3, 2]]}, {&#34;patt&#34;: [2, 0, 1, 3], &#34;pos&#34;: [[0, 5], [0, 1], [0, 5], [0, 5]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 5], [0, 1], [0, 5], [0, 5]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 5], [0, 1], [0, 5], [3, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 5], [0, 1], [0, 5]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 5], [0, 5], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 5], [0, 5], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 5], [0, 1], [0, 1], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 5], [0, 1], [0, 5], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 5], [0, 5], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 5], [0, 1], [0, 5], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 5], [0, 5], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 1], [0, 1], [0, 1], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 1], [0, 1], [0, 5], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 1], [0, 5], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4], [2, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1, 3], &#34;pos&#34;: [[0, 4], [0, 1], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 4], [2, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 4], [0, 1], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 4], [0, 4], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 4], [0, 4], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 4], [0, 1], [0, 1], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 1], [0, 4], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 1], [0, 4], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 1], [0, 1], [0, 1], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 1], [0, 4], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 4], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 5], [1, 0], [1, 3], [3, 0], [3, 2]], [[2, 4]]]}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], 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[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: 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[[0, 1], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [2, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 1], [2, 0], [2, 1], [3, 0], [3, 2]], [[1, 3]]]}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, 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{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 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{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 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{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 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{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [4, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 4], [4, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 4], [4, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, 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0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 3], [1, 0], [3, 0], [4, 4]], [[2, 2]]]}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 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[[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [2, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], 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[[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 1], [0, 5], [1, 0], [1, 2], [1, 4], [3, 0]], [[2, 3]]]}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, 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4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 1], [0, 1], [0, 1], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 1], [0, 4], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 4], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, 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{&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1, 3], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], 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3], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: 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[{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 3], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5], [1, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5], [1, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1, 3], &#34;pos&#34;: [[0, 5], [0, 2], [0, 5], [0, 5]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 5], [0, 2], [0, 5], [0, 5]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 5], [0, 2], [0, 5], [1, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 5], [0, 2], [0, 5]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 5], [0, 5], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 5], [0, 5], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 5], [0, 2], [0, 2], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 2], [0, 5], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 2], [0, 5], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 2], [0, 2], [0, 2], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 2], [0, 2], [0, 5], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 2], [0, 5], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 3], [0, 6], [2, 0], [2, 2], [2, 4], [2, 5]], [[1, 1]]]}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 3], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], 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{&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5], [1, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1, 3], &#34;pos&#34;: [[0, 5], [0, 2], [0, 5], [0, 5]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 5], [0, 2], [0, 5], [0, 5]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 5], [0, 2], [0, 5], [1, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 5], [0, 2], [0, 5]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 5], [0, 5], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 5], [0, 5], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 5], [0, 2], [0, 2], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 2], [0, 5], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 2], [0, 5], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 2], [0, 2], [0, 2], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 2], [0, 2], [0, 5], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 2], [0, 5], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 3], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 1], [1, 1]]}, 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[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}]}}, &#34;idx&#34;: 1}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, 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&#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [0, 4]], [[1, 0], [1, 1], [1, 3]]]}}, &#34;idx&#34;: 1}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], 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0], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 4], [0, 1], [0, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [3, 1]]}, 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4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 2], [0, 4], [1, 0], [3, 0], [3, 1]], [[2, 3]]]}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: 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2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 2], [1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 2], [1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 3], [2, 0], [2, 2], [2, 3], [3, 3]], [[1, 1]]]}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], 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2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 2], [1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 2], [1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0, 2], 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2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 2], [1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}}, &#34;idx&#34;: 1}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, 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[]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [1, 0], [2, 2], [2, 3], [3, 0]], [[4, 1]], [[5, 4]]]}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], 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{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: 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{&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]}}, &#34;idx&#34;: 1}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [2, 3], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 3], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 2], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 3], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 2], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1]], [[1, 0], [1, 2], [2, 0], [2, 2], [2, 3]]]}}, &#34;idx&#34;: 1}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], 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3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 5], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 5], [2, 2], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 5], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 7], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 7], [2, 2], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 7], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [3, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [3, 4], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 4], [3, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [2, 0], [2, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [2, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [3, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 6], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 6], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 6], [2, 0], [2, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 6], [2, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 2], [3, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 5], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 5], [2, 0], [2, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 5], [2, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 5], [3, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 7], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 7], [2, 0], [2, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 7], [2, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[3, 2], [3, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[3, 4], [3, 0], [3, 2], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 6], [1, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 5], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 5], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 6], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 6], [1, 6]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 6], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 5], [1, 6]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, 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1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 6], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 6], [1, 1], [2, 0]]}, 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1], &#34;pos&#34;: [[0, 5], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 5], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 5], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 4], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 6], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 6], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 6], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 1], [2, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 3], [0, 6], [2, 0], [2, 2], [2, 5], [2, 7], [3, 0], [3, 2], [3, 4]], [[1, 1]]]}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 6]]}, {&#34;patt&#34;: [0, 1], 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4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 3], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 3], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 4], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 4], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 4], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [2, 1], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}]}}, &#34;idx&#34;: 1}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 6], [1, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 5], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 5], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 6], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 6], [1, 6]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 6], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 5], [1, 6]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 4], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 4], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 6], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 6], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [2, 3], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 3], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 5], [0, 2], [0, 5]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 5], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 5], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 5], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 6], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 6], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 6], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 5], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 4], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 6], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 6], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 6], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 6], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 6], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 3], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 5], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 5], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 5], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 5], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 4], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 6], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 6], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 6], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 1], [2, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 5], [1, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 5], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 5], [1, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 4], [1, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 3], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 3], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 5], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 5], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, 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&#34;pos&#34;: [[0, 5], [4, 4], [4, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 4], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 4], [4, 4], [4, 2]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[4, 4], [4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[4, 4], [4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[4, 4], [4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[4, 4], [4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[4, 4], [4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[4, 4], [4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 5], [4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[4, 4], [4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 5], [4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[4, 4], [4, 4], [4, 4], [4, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[3, 2], [3, 2], [3, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[3, 3], [3, 2], [3, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 3], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [3, 3], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 4], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 4], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 2], [0, 5], [2, 0], [3, 1], [4, 2], [4, 4]], [[1, 3]]]}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[3, 2], [3, 2], [3, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[3, 3], [3, 2], [3, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 3], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [3, 3], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 4], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 4], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[3, 2], [3, 2], [3, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[3, 3], [3, 2], [3, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 3], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [3, 3], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 4], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 4], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]}}, &#34;idx&#34;: 1}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: 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[0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: 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[[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 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0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 2], [4, 0], [4, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [4, 2], [4, 2], [4, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[4, 1], [4, 2], [4, 2], [4, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [4, 2], [4, 2], [4, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[4, 1], [4, 2], [4, 2], [4, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[4, 2], [4, 1], [4, 2], [4, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [1, 0], [3, 1], [4, 0], [5, 0], [5, 1], [5, 3]], [[2, 2]]]}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [4, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 4], [4, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 5], [3, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 5], [4, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 5], [0, 1], [0, 5]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 4], [0, 1], [0, 4]]}, {&#34;patt&#34;: [0, 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&#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 5], [1, 0], [3, 0], [3, 1], [3, 4], [4, 0], [4, 3]], [[2, 2]]]}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, 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1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 1], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [3, 1], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [2, 0], [2, 1], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [2, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [3, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [2, 0], [2, 1], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [2, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [3, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 1], [3, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 1], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 3], [3, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[3, 1], [3, 0], [3, 1], [3, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 5], [1, 3], [3, 0], [3, 2], [3, 4], [4, 0], [4, 2]], [[2, 1]], [[5, 6]]]}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 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2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [3, 1], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [2, 0], [2, 1], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [2, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [3, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [2, 0], [2, 1], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [2, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [3, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 1], [3, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[3, 1], [3, 0], [3, 1], [3, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 3], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 3], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [2, 1], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 5], [2, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 5], [2, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 4], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 6], [0, 4], [0, 6]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [1, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], 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6]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 4], [0, 2], [0, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 4], [0, 6], [1, 3], [2, 1], [2, 3], [2, 5], [3, 1]], [[4, 2]], [[5, 0]]]}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, 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[0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 3], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 3], [0, 4], [1, 1], [2, 1], [2, 3], [2, 5], [3, 1]], [[4, 2]], [[5, 0]]]}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, 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[0, 1], &#34;pos&#34;: [[2, 1], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 5], [2, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 5], [2, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 6]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [2, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 6], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 2, 1], 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{&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 5], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 5], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 5], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], 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5], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 5], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 5], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 5], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 5], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [2, 0], [2, 1], [2, 0], [3, 4]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 5], [1, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 5], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 5], [1, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 5], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 3], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 3], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 5], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 5], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 5], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 5], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 5], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 5], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 5], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 5], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 5], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 5], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 5], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 5], [1, 0], [2, 1], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 5], [1, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 5], [1, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 5], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [1, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [3, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 5], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 5], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 5], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 5], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 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{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: 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2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [2, 1], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}]}}, &#34;idx&#34;: 1}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 6]]}, {&#34;patt&#34;: [0], 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{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[3, 3], [3, 3], [3, 5]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[3, 5], [3, 3], [3, 5]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: 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5]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 6], [3, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[3, 5], [3, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 6], [3, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[3, 5], [3, 5], [3, 5], [3, 5]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 5], [0, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 5], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 5], [0, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 4]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 4], [2, 3], [2, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 4], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 5], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 5], [2, 4], [2, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 5], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 5], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 1], [0, 3], [0, 6], [2, 0], [2, 2], [3, 3], [3, 5]], [[1, 4]]]}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [3, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [3, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[3, 3], [3, 3], [3, 5]]}, {&#34;patt&#34;: [1, 0, 2], 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{&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[3, 5], [3, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[3, 5], [3, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 5], [3, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[3, 5], [3, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[3, 5], [3, 5], [3, 5], [3, 5]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 4]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 4], [2, 3], [2, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 4], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 1], [0, 3], [2, 0], [2, 2], [2, 3], [3, 3], [3, 5]], [[1, 4]]]}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [3, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 6], [2, 6]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 6], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 6], [2, 6]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[3, 3], [3, 3], [3, 5]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[3, 5], [3, 3], [3, 5]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 5], [3, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 5], [3, 5], [3, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 6], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 6], [3, 5], [3, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 5], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 5], [3, 5], [3, 3]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[3, 5], [3, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 5], [3, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[3, 5], [3, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[3, 5], [3, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[3, 5], [3, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 5], [3, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 6], [3, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[3, 5], [3, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 6], [3, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[3, 5], [3, 5], [3, 5], [3, 5]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 5], [1, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 5], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 5], [1, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 4]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 4], [2, 3], [2, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 4], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 5], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 5], [2, 4], [2, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 5], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 5], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 1], [2, 0], [2, 2], [2, 3], [2, 6], [3, 3], [3, 5]], [[1, 4]]]}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 5], [0, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 5], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 5], [0, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 4]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 4], [2, 3], [2, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 4], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 5], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 5], [2, 4], [2, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 5], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 5], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 4]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 4], [2, 3], [2, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 4], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 5], [0, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 5], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 5], [0, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}]}}, &#34;idx&#34;: 1}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 4]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 4], [2, 3], [2, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 4], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 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2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], 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&#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [2, 3], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 3], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 2], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 3], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1]], [[1, 0], [1, 2], [2, 0], [2, 2], [2, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: 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[1, 0], [1, 1], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], 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2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 1], [0, 2], [0, 6], [1, 5], [2, 3]], [[3, 4]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, 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&#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], 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&#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], 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[[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 4], [0, 4], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 4], [0, 4], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 4], [0, 1], [0, 1], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 1], [0, 4], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 1], [0, 4], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 1], [0, 1], [0, 1], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 1], [0, 4], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 4], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 1], [0, 5], [1, 0], [1, 2], [1, 4], [3, 0]], [[2, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: 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{&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4], [1, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1, 3], &#34;pos&#34;: [[0, 4], [0, 1], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 0, 3, 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1], [0, 1], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 1], [0, 4], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 1], [0, 4], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 1], [0, 1], [0, 1], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 1], [0, 4], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 4], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, 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{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1, 3], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 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[[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], 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&#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 1], [0, 5], [1, 4], [2, 2]], [[3, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, 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3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 3], [1, 0]], [[2, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1, 3], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1, 3], &#34;pos&#34;: 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1], [0, 3], [1, 0]], [[2, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], 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[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2]], [[1, 0], [1, 1]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 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1], &#34;pos&#34;: [[0, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: 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&#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 5], [1, 0], [3, 0], [3, 2], [3, 4]], [[2, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], 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&#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 4], [0, 4], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 4], [0, 1], [0, 1], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 1], [0, 4], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 1], [0, 4], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 1], [0, 1], [0, 1], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 1], [0, 4], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 4], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], 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{&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 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{&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 3]], [[1, 0], [2, 0], [2, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], 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[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 3]], [[1, 0], [2, 0], [2, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], 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{&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 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{&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: 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0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [1, 0], [2, 0]], [[3, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 2], [2, 0], [2, 4], [3, 3]], [[1, 1]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 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[0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [1, 0]], [[2, 1]]]}}, {&#34;class_module&#34;: 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[[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1, 3], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [2, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 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[[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [2, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1], [1, 1], [2, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 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&#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 1], [1, 0], [1, 1]], [[2, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 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{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [1, 1], [2, 0], [3, 0]], [[4, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 1], [1, 0]], [[2, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 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[0, 2], [0, 5], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 2], [0, 5], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 2], [0, 2], [0, 2], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 2], [0, 2], [0, 5], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 2], [0, 5], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 1], [0, 2], [0, 6], [1, 5], [2, 3]], [[3, 4]]]}}, 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{&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 4], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 4], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [0, 2], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [0, 4], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 4], [0, 2], [0, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [0, 4], [1, 0], [1, 1]], [[2, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], 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1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [0, 3]], [[1, 1]], [[2, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: 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&#34;pos&#34;: [[0, 0], [2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 0, 1, 3], &#34;pos&#34;: [[0, 4], [0, 2], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4], [0, 2], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4], [0, 4], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 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{&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [0, 2], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [0, 4], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1, 3], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [0, 4]], [[1, 1]], [[2, 0], [2, 3], [3, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 3], [1, 0], [2, 0]], [[3, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 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&#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, 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{&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: 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&#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1, 3], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 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[0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1, 3], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 3]]}, 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[[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, 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{&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, 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&#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1, 3], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2]], [[1, 0], [2, 0], [2, 1], [3, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 5], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 5], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 5], [2, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 5], [0, 0], [0, 5]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5], [2, 4]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5], [2, 4]]}, {&#34;patt&#34;: [2, 0, 1, 3], &#34;pos&#34;: [[0, 5], [0, 2], [0, 5], [0, 5]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 5], [0, 2], [0, 5], [0, 5]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 5], [0, 2], [0, 5], [2, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 5], [0, 2], [0, 5]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 5], [0, 5], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 5], [0, 5], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 5], [0, 2], [0, 2], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 2], [0, 5], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 2], [0, 5], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 2], [0, 2], [0, 2], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 2], [0, 2], [0, 5], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 2], [0, 5], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 4], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 4], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 4], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 4], [0, 0], [0, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4], [1, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1, 3], &#34;pos&#34;: [[0, 4], [0, 1], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 4], [1, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 4], [0, 1], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 4], [0, 4], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 4], [0, 4], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 4], [0, 1], [0, 1], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 1], [0, 4], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 1], [0, 4], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 1], [0, 1], [0, 1], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 1], [0, 4], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 4], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 2], [0, 5], [2, 0], [2, 3], [2, 4]], [[1, 1]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 3]]}, {&#34;patt&#34;: [0, 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[0, 2], [0, 4], [0, 4], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 4], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 4], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [0, 2], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [0, 4], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]}}, 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3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], 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4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0], &#34;pos&#34;: 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0], [1, 1], [3, 0], [3, 2]], [[2, 4]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 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{&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2]], [[1, 0], [2, 0], [2, 1]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [2, 1], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 2], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 2], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1], 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&#34;pos&#34;: [[0, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [3, 3], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 4], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 4], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 2], [2, 1], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [2, 2], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 3], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 3], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 1], [0, 4], [2, 0], [3, 1], [3, 3]], [[1, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 2], [2, 1], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [2, 2], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 3], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 3], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 2], [2, 1], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 2], [2, 1], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 2], [2, 1], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 2], [2, 1], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], 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&#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [0, 4], [1, 1], [3, 1]], [[2, 3]], [[4, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[5, 2], [5, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[5, 2], [5, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[6, 0], [6, 0], [6, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 3], [1, 1], [2, 3], [3, 1], [4, 1]], [[5, 2]], [[6, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[5, 5], [5, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[5, 0], [5, 5], [5, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: 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1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], 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[0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [1, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 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&#34;partition&#34;: [[[0, 0], [0, 2], [0, 4], [2, 3]], [[1, 1]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: 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&#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 2]], [[1, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1, 3], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 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&#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1, 3], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 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&#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], 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{&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [1, 0], 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{&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 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0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [0, 3]], [[1, 1]], [[2, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], 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&#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 2], [1, 0], [1, 2]], [[2, 1]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 1]]}, 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&#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 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{&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], 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0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 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{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [3, 3], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 3], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [3, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [3, 2], [3, 3], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 3], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [3, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [3, 3], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 3], [3, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[3, 2], [3, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[3, 3], [3, 0], [3, 2], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 2], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 1], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [2, 0], [3, 0], [3, 2], [3, 3]], [[1, 1]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 4], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 4], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [2, 3], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 3], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 4], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 3], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: 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0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: 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[3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 1], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]}}, 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{&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1, 3], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1, 3], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 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{&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 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{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 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{&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 2], [0, 3], [1, 0], [1, 2]], [[2, 1]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, 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0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 5], [1, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 5], [1, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 5], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 4], [1, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 5], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 5], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [2, 3], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 3], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 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4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 5], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 5], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 5], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 1], [2, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [1, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 4], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 4], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 4], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [2, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [2, 3], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 3], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 3], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 1], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 5], [2, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 1], [4, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 6], [0, 6]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 6], [2, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 6], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 5], [2, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 5], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[4, 2], [4, 2], [4, 4]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[4, 4], [4, 2], [4, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 2], [4, 4], [4, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 4], [4, 4], [4, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 6], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 6], [4, 4], [4, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 5], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 5], [4, 4], [4, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 4], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 4], [4, 4], [4, 2]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[4, 4], [4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[4, 4], [4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[4, 4], [4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[4, 4], [4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[4, 4], [4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[4, 4], [4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 6], [4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 5], [4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[4, 4], [4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 6], [4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 5], [4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[4, 4], [4, 4], [4, 4], [4, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 5], [0, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 5], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 5], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[3, 2], [3, 2], [3, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[3, 3], [3, 2], [3, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 3], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 5], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 5], [3, 3], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [3, 3], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 5], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 4], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 5], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 4], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 6], [2, 0], [2, 5], [3, 1], [4, 2], [4, 4]], [[1, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: 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{&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 3], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 5], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 5], [3, 3], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [3, 3], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 5], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 4], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 5], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 4], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[3, 2], [3, 2], [3, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[3, 3], [3, 2], [3, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 3], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [3, 3], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 4], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 4], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 3], [1, 0], [3, 0]], [[2, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[3, 2], [3, 2], [3, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[3, 3], [3, 2], [3, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 3], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [3, 3], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 4], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 4], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[3, 2], [3, 2], [3, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[3, 3], [3, 2], [3, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 3], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, 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&#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: 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1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 2]], [[1, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: 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1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: 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{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 5], [4, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 5], [4, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [1, 1], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 1], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 5]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 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[1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 4], [1, 1], [1, 3]], [[2, 2]], [[3, 0], [4, 0], [4, 5]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 5], [3, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 5], [3, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [1, 1], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 1], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 4], [1, 1], [1, 3]], [[2, 2]], [[3, 0], [3, 5]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: 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[3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [4, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [1, 0], [3, 1], [4, 0], [5, 0]], [[2, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1]], [[1, 0], [2, 0], [2, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 4], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 3], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [1, 1], [2, 1]], [[3, 0], [4, 0], [4, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 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{&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: 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0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], 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[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 5]], [[1, 1], [1, 3]], [[2, 2]], [[3, 0], [4, 0], [4, 4]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 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{&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 3]], [[1, 1], [2, 1]], [[3, 0], [4, 0], [4, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1, 3], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1, 3], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 2]], [[1, 0], [2, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 1], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 1], [3, 3], [3, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 1], [3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 1], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 1], [3, 4], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 1], [3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 4], [3, 1], [3, 4]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[3, 4], [3, 1], [3, 4]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [3, 1], [3, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 3], [3, 1], [3, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 3], [0, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [3, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [3, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: 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[0, 2], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2], [2, 2]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 3], [0, 4], [1, 1], [3, 1], [3, 3], [3, 4]], [[2, 2]], [[4, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: 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&#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2], [2, 2]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, 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{&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [2, 1]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 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{&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, 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0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [1, 5], [1, 5]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 3], [0, 6], [1, 3], [1, 6], [3, 0], [3, 2], [3, 4], [3, 5]], [[2, 1]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, 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{&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [1, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [0, 2], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [0, 2], [1, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [1, 2], [1, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [1, 4]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [0, 4], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [0, 4], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [1, 4], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [1, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 4], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 4], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [1, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [1, 4], [1, 4]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 5], [1, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 5], [1, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 5], [1, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 5], [1, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 5], [0, 2], [0, 5]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], 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{&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 2], [0, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [1, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 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&#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [0, 4], [1, 2], [1, 4]], [[2, 0], [2, 1], [2, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 5], [1, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 5], [0, 2], [0, 5]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 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5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [1, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [0, 5], [1, 2], [1, 4]], [[2, 0], [2, 1], [2, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [1, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 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{&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 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[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 4], [0, 2], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [0, 4]], [[1, 1]], [[2, 0], [2, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[7, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[7, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[7, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: 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{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [4, 1], [6, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [6, 1], [6, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [6, 3], [6, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [6, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [5, 0], [6, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [6, 0], [6, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 1], [4, 1], [6, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 1], [6, 1], [6, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[5, 0], [5, 0], [6, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[5, 0], [6, 0], [6, 0]]}, {&#34;patt&#34;: [0, 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1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[5, 2], [5, 1], [5, 2], [5, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 4], [1, 1], [2, 0], [4, 1], [5, 0], [6, 0], [6, 1], [6, 3]], [[3, 2]], [[7, 5]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], 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{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 0]]}, 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[]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 4], [2, 0], [2, 2], [3, 0], [3, 2], [3, 3]], [[1, 1]], [[4, 5]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], 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[1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [2, 0], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [1, 1], [2, 0], [2, 1]], [[3, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 2], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 1], [2, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [2, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], 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[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, 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[]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 2], [0, 3], [1, 0], [1, 2]], [[2, 1]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 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&#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [4, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 5], [4, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[5, 2], [5, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[6, 4], [6, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 5], [4, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 5], [6, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[5, 2], [5, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[6, 4], [6, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[6, 0], [6, 0], [6, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 4]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [4, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 4], [4, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[5, 3], [5, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 4], [4, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 4], [5, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[5, 3], [5, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 3]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 3], [1, 1], [2, 3], [3, 1], [4, 1], [4, 5], [6, 0], [6, 4]], [[5, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [4, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 4], [4, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[5, 3], [5, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 4], [4, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 4], [5, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[5, 3], [5, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[5, 3], [5, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[5, 3], [5, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 3]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 4]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [1, 2]], [[2, 1], [3, 1], [3, 3]], [[4, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[5, 3], [5, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[5, 3], [5, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: 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[[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: 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&#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: 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&#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 5], [3, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[5, 4], [5, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 5], [3, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 5], [5, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[5, 4], [5, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 4]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 3], [1, 3]], [[2, 1], [3, 1], [3, 5], [5, 0], [5, 4]], [[4, 2]]]}}, {&#34;class_module&#34;: 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[0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 5], [2, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 5], [0, 3], [0, 5]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 3], [0, 5], [1, 1], [2, 1], [2, 3], [2, 4], [3, 1]], [[4, 2]], [[5, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1, 2], 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[0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 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{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [4, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 5], [4, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 5], [4, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [0, 4], [1, 1], [3, 1], [4, 0], [4, 5], [5, 0]], [[2, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [0, 3], [1, 1], [2, 1]], [[3, 0], [4, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], 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&#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 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{&#34;patt&#34;: [2, 0, 1, 3], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [2, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [2, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: 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{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 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[[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [2, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: 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{&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 5], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 5], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 5], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 5], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 5], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 5], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [2, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 5], [3, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 5], [3, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 3], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 3], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 4], [3, 4]]}, 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0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 1], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 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0, 2, 1], &#34;pos&#34;: [[1, 2], [3, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 1], [3, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 1], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 3], [3, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[3, 1], [3, 0], [3, 1], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 5]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 3], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 3], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [2, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [2, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 3], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [3, 1], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 1], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [3, 1], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [2, 0], [2, 1], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [2, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [3, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [2, 0], [2, 1], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [2, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [3, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 1], [3, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 1], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 3], [3, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[3, 1], [3, 0], [3, 1], [3, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 4], [1, 2], [2, 0], [2, 1], [2, 3], [3, 0], [3, 1]], [[4, 5]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 4], [4, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 4], [4, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [2, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [2, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [3, 1], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [3, 1], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], 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0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [2, 0], [2, 1], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [2, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [3, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 1], [3, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[3, 1], [3, 0], [3, 1], [3, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: 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[2, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [1, 1], [1, 1]]}, 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4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: 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1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [1, 1]], [[2, 0], [3, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 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[0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1, 3], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: 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2], [0, 2], [0, 2], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 2], [0, 2], [0, 5], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 2], [0, 5], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 3], [0, 6], [1, 0], [3, 0], [3, 1], [3, 4], [3, 5], [4, 0]], [[2, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], 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{&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1, 3], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 0, 1, 3], &#34;pos&#34;: [[0, 4], [0, 2], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4], [0, 2], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 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[0, 2], [0, 4], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [0, 2], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [0, 4], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}]], 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{&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [0, 4]], [[1, 1]], [[2, 0]], [[3, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [1, 1], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 3], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 3], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1, 3], &#34;pos&#34;: [[0, 5], [0, 3], [0, 5], [0, 5]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 5], [0, 3], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 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3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 3], [0, 5], [1, 1], [1, 2]], [[2, 0], [2, 4]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], 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&#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [1, 0], [3, 0]], [[2, 1]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 4], [0, 2], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], 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&#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [0, 4]], [[1, 1]], [[2, 0], [3, 0], [3, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: 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2], [0, 4], [2, 2], [2, 4], [2, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [2, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [2, 4], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [2, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [0, 2], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [0, 2], [2, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [2, 2], [2, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [2, 4]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [0, 4], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [0, 4], [2, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [2, 4], [2, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [2, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 4], [0, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 4], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [2, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [2, 4], [2, 4]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 3], [0, 5], [1, 1], [3, 1], [3, 3], [3, 5], [4, 0], [4, 4], [5, 0]], [[2, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], 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{&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], 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[0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [2, 1], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [2, 2], [2, 1], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, 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&#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2], [2, 2]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [0, 3], [1, 1], [2, 1], [2, 2], [2, 3]], [[3, 0], [4, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 5], [1, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 5], [0, 2], [0, 5]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [1, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [0, 5], [1, 2], [1, 4]], [[2, 1]], [[3, 0], [3, 3], [4, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], 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{&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, 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0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 4], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 1], [2, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 7]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], 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5], [3, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 4], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 4], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [2, 3], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 3], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 4], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 3], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 4], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 1], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 4], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 4], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [2, 3], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 3], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 4], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 3], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 4], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 1], [2, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [1, 0], [1, 1], [1, 4], [2, 0], [2, 1], [2, 3]], [[3, 5]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 5], [1, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 5], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 5], [1, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 5], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 4], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 4], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 5], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [2, 3], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 3], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 5], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 5], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 4], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 5], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 5], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 5], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 3], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 4], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 1], [2, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 4], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 4], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [2, 3], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 3], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], 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{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 4], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 3], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 4], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 1], [2, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 3], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 3], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 4], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 4], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [2, 0], [2, 1], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 5], [1, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 5], [3, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [3, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 6], [3, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 4], [4, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 5], [1, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 5], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 5], [4, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 6], [3, 6]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 6], [4, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 4], [4, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 1], [2, 1], [3, 6]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [3, 6]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 5], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [2, 3], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 3], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 5], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 5], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[1, 0], [1, 1], [2, 0], [3, 6]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[1, 0], [2, 1], [2, 0], [3, 6]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [3, 6]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 5], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 5], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 5], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 3], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 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[[2, 3], [2, 0], [2, 1], [2, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 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1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 0], [2, 1], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 6], [1, 6]]}, 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1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 3], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], 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&#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [3, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 5], [3, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 4], [4, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], 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{&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[1, 0], [1, 1], [2, 0], [3, 4]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[1, 0], [2, 1], [2, 0], [3, 4]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [3, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: 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0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [2, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [2, 3], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 3], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 3], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 1], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 4], [4, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 1], [2, 1], [3, 4]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [3, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[1, 0], [1, 1], [2, 0], [3, 4]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[1, 0], [2, 1], [2, 0], [3, 4]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [3, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [2, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [2, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [2, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [2, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [1, 0], [1, 1], [2, 0], [2, 1]], [[3, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 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&#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, 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2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[3, 2], [3, 2], [3, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[3, 3], [3, 2], [3, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 3], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 5], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 5], [3, 3], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [3, 3], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 5], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 4], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 5], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 4], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 6], [1, 2], [3, 0], [3, 1], [3, 2], [3, 5], [4, 2], [4, 4]], [[2, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 5], [0, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 5], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 5], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 5], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[3, 2], [3, 2], [3, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[3, 3], [3, 2], [3, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 3], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 5], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 5], [3, 3], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [3, 3], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 5], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 4], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 5], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 4], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 5], [0, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 5], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 5], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[3, 2], [3, 2], [3, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[3, 3], [3, 2], [3, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 3], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 5], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 5], [3, 3], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [3, 3], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 5], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 4], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 5], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 4], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 5], [0, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 5], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 5], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[3, 2], [3, 2], [3, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[3, 3], [3, 2], [3, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 3], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 5], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 5], [3, 3], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [3, 3], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 5], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 4], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 5], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 4], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[3, 2], [3, 2], [3, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[3, 3], [3, 2], [3, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 3], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [3, 3], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 4], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 4], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[3, 2], [3, 2], [3, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[3, 3], [3, 2], [3, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 3], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [3, 3], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 4], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 4], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, 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[0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 1], [1, 0], [1, 2]], [[2, 3], [2, 4]]]}}, {&#34;class_module&#34;: 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{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 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[[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 3]], [[1, 0], [1, 1], [2, 0], [2, 2], [2, 4]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], 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0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 3]], [[1, 0], [1, 1], [1, 4], [2, 0], [2, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 4], [0, 2], [0, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 3], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 3], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 2], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 4], [0, 2], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 2], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 1], [2, 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[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 2], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [1, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 3]], [[1, 0], [1, 1], [1, 2], [2, 0], [2, 1]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, 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&#34;pos&#34;: [[0, 3], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 5], [0, 3], [0, 5]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: 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1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: 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&#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: 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{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, 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2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [2, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 3]], [[1, 0], [1, 1], [2, 0], [2, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [2, 0], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2]], [[1, 1], [2, 1]], [[3, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [5, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [5, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 0], [5, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[5, 0], [5, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[4, 0], [5, 2], [5, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[5, 0], [5, 2], [5, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [5, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [3, 1], [5, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [5, 2], [5, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [4, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [5, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [5, 2], [5, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[5, 0], [5, 2], [5, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [1, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [1, 1], [5, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [4, 0], [5, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [5, 0], [5, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[5, 2], [5, 0], [5, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [5, 2], [5, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 1], [5, 2], [5, 2], [5, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[5, 1], [5, 2], [5, 2], [5, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], 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1], [5, 2], [5, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [4, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [4, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 0], [4, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 0], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1, 2], 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&#34;pos&#34;: [[0, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, 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6], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 6], [0, 6], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 6], [0, 3], [0, 3], [0, 3], [0, 6]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 6], [0, 3], [0, 3], [0, 6], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 6], [0, 3], [0, 6], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 1], [0, 3], [0, 4], [0, 7], [2, 0], [2, 5], [2, 6]], [[1, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], 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{&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 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&#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [0, 4], [1, 0], [1, 1], [3, 0], [3, 1]], [[2, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 3], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 3], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 4], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 4], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 4], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 4], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1, 3], &#34;pos&#34;: [[0, 5], [0, 4], [0, 5], [0, 5]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 5], [0, 4], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 5], [0, 4], [0, 5]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 5], [0, 5], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 5], [0, 5], [0, 4]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 5], [0, 4], [0, 4], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 5], [0, 4], [0, 5], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 5], [0, 5], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 5], [0, 4], [0, 5], [0, 4]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 5], [0, 5], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 4], [0, 4], [0, 4], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 4], [0, 4], [0, 5], [0, 4]]}, {&#34;patt&#34;: [3, 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&#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1, 3], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], 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5], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 3], [0, 5], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1], 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{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 6], [0, 3], [0, 6]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, 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1]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 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[0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1, 3], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [0, 3], [1, 1], [2, 1]], [[3, 0], [4, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1, 3], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 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&#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 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[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1, 2], 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1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], 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[]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 0, 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{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 6]]}, {&#34;patt&#34;: [0, 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{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 6], [0, 3], [0, 6]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 4], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 4], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 5], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [2, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [2, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 5], [2, 2], [3, 2]]}, {&#34;patt&#34;: [0, 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{&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 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0, 2], &#34;pos&#34;: [[0, 5], [0, 2], [0, 5]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 3], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 3], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 4], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], 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3], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 3], [0, 6], [2, 0], [2, 2], [2, 4], [2, 5], [3, 0], [3, 2]], [[1, 1]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 5], [4, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 5], [4, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 4], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 3], [4, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 6], [0, 4], [0, 6]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 5]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 4], [0, 6]], [[1, 3], [4, 0], [4, 3], [4, 5]], [[2, 1]], [[3, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 5], [0, 3], [0, 5]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 5], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 5], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 5], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 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[0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 3], [0, 5], [1, 3]], [[2, 1]], [[3, 0], [3, 2], [3, 4]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 5], [1, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: 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3], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 4], [0, 2], [0, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 3], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 3], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 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{&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 1], [2, 0]]}, 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1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, 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&#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [], &#34;pos&#34;: []}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 3], [1, 2], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 3], [1, 1], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 3], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], &#34;indices&#34;: [0, 0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: true}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 3], [1, 2], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1]], [[1, 0], [1, 2], [1, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 3], [1, 1], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 3], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 2], [0, 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{&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 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[0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [2, 1]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2], [2, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], 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{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 3, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, &#34;idx&#34;: 0}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0, 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{&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [2, 3], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 3], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 2], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 3], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 1, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, &#34;idx&#34;: 0}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, 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{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 3], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 2], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 5], [2, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 5], [2, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 5], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 5], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 5], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 5], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 5], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 5], [2, 0], [2, 2], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 3], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 2], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, &#34;idx&#34;: 0}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 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&#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 3], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1, 3], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 5], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 5], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 5], [1, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 5], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 4], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 5], [0, 0], [0, 5]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 5], [0, 5], [1, 4]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 5], [0, 5], [1, 4]]}, {&#34;patt&#34;: [2, 0, 1, 3], &#34;pos&#34;: [[0, 5], [0, 1], [0, 5], [0, 5]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 5], [0, 1], [0, 5], [0, 5]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 5], [0, 1], [0, 5], [1, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 5], [0, 1], [0, 5]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 5], [0, 5], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 5], [0, 5], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 5], [0, 1], [0, 1], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 5], [0, 1], [0, 5], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 5], [0, 5], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 5], [0, 1], [0, 5], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 5], [0, 5], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 1], [0, 1], [0, 1], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 1], [0, 1], [0, 5], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 1], [0, 5], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: 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1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, 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{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 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{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: 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{&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 4], [2, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 4], [0, 1], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 4], [0, 4], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 4], [0, 4], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 4], [0, 1], [0, 1], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 1], [0, 4], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 1], [0, 4], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 1], [0, 1], [0, 1], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 1], [0, 4], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 4], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: 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{&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, 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&#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1, 3], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.obstruction_inferral&#34;, &#34;strategy_class&#34;: &#34;ObstructionInferralStrategy&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: 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[0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 4], [0, 1], [0, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 4], [0, 1], [0, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], 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[[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 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[0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 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{&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [0, 3], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: 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&#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], 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{&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 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{&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: 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{&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 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&#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 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{&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 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{&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 1, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], 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[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 1], [3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [3, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1, 3], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [3, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 1], [3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 3], 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{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [3, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1, 3], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [3, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: 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{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 4], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 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[0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 5], [0, 5], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 5], [0, 1], [0, 1], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 5], [0, 1], [0, 5], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 5], [0, 5], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 5], [0, 1], [0, 5], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 5], [0, 5], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 1], [0, 1], [0, 1], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 1], [0, 1], [0, 5], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 1], [0, 5], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4], [2, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1, 3], &#34;pos&#34;: [[0, 4], [0, 1], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 4], [2, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 4], [0, 1], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 4], [0, 4], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 4], [0, 4], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 4], [0, 1], [0, 1], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 1], [0, 4], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 1], [0, 4], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 1], [0, 1], [0, 1], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 1], [0, 4], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 4], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, 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3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1, 3], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 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[0, 3], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.obstruction_inferral&#34;, &#34;strategy_class&#34;: &#34;ObstructionInferralStrategy&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: 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[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 3], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 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[[3, 0], [3, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 2], [3, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[3, 2], [3, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, &#34;idx&#34;: 0}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [3, 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{&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 0], [2, 1], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [3, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 0], [2, 1], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: 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1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 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3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [3, 1], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 0], [2, 1], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, &#34;idx&#34;: 0}]}, {&#34;class_module&#34;: 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{&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], 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1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.obstruction_inferral&#34;, &#34;strategy_class&#34;: &#34;ObstructionInferralStrategy&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: 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{&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.obstruction_inferral&#34;, &#34;strategy_class&#34;: &#34;ObstructionInferralStrategy&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 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&#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 1, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: 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{&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 6], [0, 6], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 6], [0, 2], [0, 2], [0, 2], [0, 6]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 6], [0, 2], [0, 2], [0, 6], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 6], [0, 2], [0, 6], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 4]]}, 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[[0, 2], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 4], [0, 2], [0, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: 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{&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: 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{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 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{&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1, 3], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1, 3], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: 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[3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1, 3], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], 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&#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1, 3], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, 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3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.obstruction_inferral&#34;, &#34;strategy_class&#34;: &#34;ObstructionInferralStrategy&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 4], [0, 1], [0, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 4], [0, 1], [0, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 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1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}, &#34;idx&#34;: 0}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], 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[[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], 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&#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: 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&#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1, 3], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [2, 0, 1, 3], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [2, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 1, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [2, 0, 1, 3], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [2, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 5], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 5], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 5], [2, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 5], [0, 0], [0, 5]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5], [2, 4]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5], [2, 4]]}, {&#34;patt&#34;: [2, 0, 1, 3], &#34;pos&#34;: [[0, 5], [0, 2], [0, 5], [0, 5]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 5], [0, 2], [0, 5], [0, 5]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 5], [0, 2], [0, 5], [2, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 5], [0, 2], [0, 5]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 5], [0, 5], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 5], [0, 5], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 5], [0, 2], [0, 2], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 2], [0, 5], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 2], [0, 5], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 2], [0, 2], [0, 2], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 2], [0, 2], [0, 5], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 2], [0, 5], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 3], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [2, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [2, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 2], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1, 3], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [2, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [0, 3], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 5], [2, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 5], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 5], [2, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 4], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 3], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 3], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 6], [0, 6], [2, 5]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 6], [0, 6], [2, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 2], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1, 3], &#34;pos&#34;: [[0, 6], [0, 3], [0, 6], [0, 6]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 6], [0, 3], [0, 6], [0, 6]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 6], [0, 3], [0, 6], [2, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 4], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 6], [0, 3], [0, 6]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 6], [0, 6], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 6], [0, 6], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 6], [0, 3], [0, 3], [0, 6]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 6], [0, 3], [0, 6], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 6], [0, 6], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 6], [0, 3], [0, 6], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 6], [0, 6], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 6], [0, 3], [0, 3], [0, 3], [0, 6]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 6], [0, 3], [0, 3], [0, 6], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 6], [0, 3], [0, 6], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1, 3], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], 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{&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [0, 3], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, &#34;idx&#34;: 0}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: 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0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 4], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1, 3], &#34;pos&#34;: [[0, 4], [0, 2], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4], [0, 2], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4], [0, 4], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4], [0, 4], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 4], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 4], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [0, 2], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [0, 4], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, &#34;idx&#34;: 0}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: 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{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], 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[2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: 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1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 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[[0, 3], [0, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 3], [2, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 3], [2, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 3], [2, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: 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[[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[3, 3], [3, 1], [3, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 1], [3, 3], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [3, 3], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[3, 3], [3, 1], [3, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 1], [3, 3], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [3, 3], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 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0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[3, 3], [3, 1], [3, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 1], [3, 3], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [3, 3], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 1], 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[[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: 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{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [3, 2]]}, 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&#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 1], 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{&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.obstruction_inferral&#34;, &#34;strategy_class&#34;: &#34;ObstructionInferralStrategy&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: 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&#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: 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{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: 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[[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}], 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[0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, 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[0, 1], &#34;pos&#34;: [[0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 1, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: 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&#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 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{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: 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&#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 1, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], 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[0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 5], [2, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 4], [4, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 5], [2, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 5], [4, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 4], [4, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 4]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 3], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, &#34;idx&#34;: 0}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}]], 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{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [4, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [4, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [4, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], 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2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 1, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [4, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [4, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [4, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], 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{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[5, 2], [5, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[5, 2], [5, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[6, 0], [6, 0], [6, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], 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&#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 3], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 3], [1, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[5, 4], [5, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 3], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 3], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 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[[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 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{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 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&#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[5, 5], [5, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[5, 0], [5, 5], [5, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 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3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, 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{&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: 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0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [3, 3], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 3], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [3, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [3, 2], [3, 3], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 3], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [3, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [3, 3], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], 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0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], 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2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 2], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], 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[1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 3], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 3], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 4], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 4], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [3, 3], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 3], [3, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [2, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], 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&#34;pos&#34;: [[0, 3], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 3], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 4], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [3, 3], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [3, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [3, 2], [3, 3], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 3], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 2], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 2], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [3, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [3, 3], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 3], [3, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [2, 0], [2, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [2, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [3, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [2, 0], [2, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [2, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 2], [3, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 3], [3, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 4], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 4], [2, 0], [2, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 4], [2, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[3, 2], [3, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[3, 3], [3, 0], [3, 2], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, &#34;idx&#34;: 0}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, 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1, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4], [3, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 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3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 1], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 4], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[3, 2], [3, 2], [3, 4]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[3, 4], [3, 2], [3, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 4], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [3, 4], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [3, 4], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 4], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4], [3, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 3, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 1], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 4], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 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[0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 5], [2, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 1], [4, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 6], [0, 6]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 6], [2, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 6], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 5], [2, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 5], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[4, 2], [4, 2], [4, 4]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[4, 4], [4, 2], [4, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 2], [4, 4], [4, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 4], [4, 4], [4, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 6], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 6], [4, 4], [4, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 5], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 5], [4, 4], [4, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 4], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 4], [4, 4], [4, 2]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[4, 4], [4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[4, 4], [4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[4, 4], [4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[4, 4], [4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[4, 4], [4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[4, 4], [4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 6], [4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 5], [4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[4, 4], [4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 6], [4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 5], [4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[4, 4], [4, 4], [4, 4], [4, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: 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[0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 1, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: 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2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 1, &#34;own_col&#34;: true, &#34;own_row&#34;: 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[[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [4, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 5], [3, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 4], [4, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 5], [3, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 5], [4, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 4], [4, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [3, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [4, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [3, 5], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [3, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 4], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [3, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 4], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 5], [4, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 5], [4, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [1, 1], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 1], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 5]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [3, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 4], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [3, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 4], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 5], [3, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 5], [3, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [1, 1], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 1], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 1, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], 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[3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [4, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 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[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.obstruction_inferral&#34;, &#34;strategy_class&#34;: &#34;ObstructionInferralStrategy&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 0], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [3, 3], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 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[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [3, 3], [3, 3], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 1], [3, 3], [3, 3], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [3, 3], [3, 3], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 1], [3, 3], [3, 3], [3, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[3, 3], [3, 1], [3, 3], [3, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: 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1], &#34;pos&#34;: [[1, 0], [5, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 0], [5, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[5, 0], [5, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[4, 0], [5, 3], [5, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[5, 0], [5, 3], [5, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [5, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [3, 1], [5, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [5, 3], [5, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [4, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [5, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [5, 3], [5, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[5, 0], [5, 3], [5, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[5, 3], [5, 0], [5, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 1], [5, 3], [5, 3], [5, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[5, 1], [5, 3], [5, 3], [5, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 1], [5, 3], [5, 3], [5, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[5, 1], [5, 3], [5, 3], [5, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[5, 3], [5, 1], [5, 3], [5, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 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[[2, 0], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 0], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [3, 3], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 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[3, 3], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 1], [3, 3], [3, 3], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [3, 3], [3, 3], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 1], [3, 3], [3, 3], [3, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[3, 3], [3, 1], [3, 3], [3, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 1, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, &#34;idx&#34;: 0}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 0]]}, {&#34;patt&#34;: [1, 0], 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{&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 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{&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.obstruction_inferral&#34;, &#34;strategy_class&#34;: &#34;ObstructionInferralStrategy&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 0], [1, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 1], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [2, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [3, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [2, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [3, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 4], [0, 1], [0, 4]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [2, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [3, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [2, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [3, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 4], [0, 1], [0, 4]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 4], [4, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 4], [4, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 1], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 4]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], 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3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, 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{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 6], [1, 6], [1, 6]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 6], [1, 6], [1, 6]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 6], [1, 6], [1, 6]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 6], [1, 6], [1, 6]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 6], [1, 6], [3, 5]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 6], [1, 6], [1, 6]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 6], [1, 6], [3, 5]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 6], [1, 6], [1, 6]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 6], [1, 6], [1, 6]]}, {&#34;patt&#34;: [2, 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0, 2, 1, 4], &#34;pos&#34;: [[0, 6], [0, 3], [0, 3], [1, 3], [1, 6]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [1, 6]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 6], [0, 3], [0, 3], [0, 6], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 6], [0, 3], [0, 3], [0, 6], [1, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 6], [0, 3], [0, 3], [1, 6], [1, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [1, 6]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 6], [0, 3], [0, 6], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 6], [0, 3], [0, 6], [0, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 6], [0, 3], [0, 6], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [1, 6]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [1, 6], [1, 6]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 5], [1, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 5], [1, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 5], [1, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 5], [1, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 5], [0, 2], [0, 5]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 5], [1, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 5], [1, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 6], [1, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 6], [0, 2], [0, 6]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 5], [1, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 5], [1, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 6], [1, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 6], [0, 2], [0, 6]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 5], [1, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 5], [0, 2], [0, 5]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 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[[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 1]]}, 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&#34;pos&#34;: [[1, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 4]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 1, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [4, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 4], [4, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [4, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [4, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 4], [4, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 4], [4, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 0], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 4], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 4], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [3, 3], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [0, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [0, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [2, 0], [3, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 4], [2, 0], [3, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 3], [3, 0], [3, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 4], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [3, 3], [3, 3], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 1], [3, 3], [3, 3], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 4], [3, 3], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [3, 3], [3, 3], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 1], [3, 3], [3, 3], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1, 3], &#34;pos&#34;: [[0, 4], [3, 0], [3, 3], [4, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [2, 1], [3, 3], [3, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 4], [2, 1], [3, 3], [3, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[3, 3], [3, 1], [3, 3], [3, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [3, 1], [3, 3], [3, 1], [4, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 4]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[7, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[7, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[7, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[7, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[7, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [4, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [6, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [6, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[5, 0], [6, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[6, 0], [6, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[7, 5], [7, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[7, 5], [7, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[5, 0], [6, 3], [6, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[6, 0], [6, 3], [6, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [6, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [4, 1], [6, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [6, 1], [6, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [6, 3], [6, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [6, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [5, 0], [6, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [6, 0], [6, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 1], [4, 1], [6, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 1], [6, 1], [6, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[5, 0], [5, 0], [6, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[5, 0], [6, 0], [6, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[5, 0], [6, 3], [6, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[6, 0], [6, 0], [6, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[6, 0], [6, 3], [6, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[6, 1], [6, 1], [6, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[6, 3], [6, 3], [6, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [1, 1], [4, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [1, 1], [6, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [5, 0], [6, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [6, 0], [6, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[6, 3], [6, 0], [6, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [6, 3], [6, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[6, 3], [6, 3], [6, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[4, 1], [6, 3], [6, 3], [6, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[6, 1], [6, 3], [6, 3], [6, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[4, 1], [6, 3], [6, 3], [6, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[6, 1], [6, 3], [6, 3], [6, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [4, 1], [6, 3], [6, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [6, 1], [6, 3], [6, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[6, 3], [6, 1], [6, 3], [6, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[7, 5]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1, 3], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [2, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [2, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [4, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 4], [4, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [4, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [4, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 4], [4, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 4], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 4], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [3, 3], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 3], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [2, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [2, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 4], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [3, 3], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [3, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [3, 2], [3, 3], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 3], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 2], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [3, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [3, 3], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 3], [3, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [2, 0], [2, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [2, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 2], [3, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 4], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 4], [2, 0], [2, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 4], [2, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[3, 2], [3, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[3, 3], [3, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [3, 0], [3, 2], [3, 0], [4, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 4]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [4, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 4], [4, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [4, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [4, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 4], [4, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 4], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 4], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [3, 3], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 3], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [2, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [2, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 4], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [3, 3], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [3, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [3, 2], [3, 3], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 3], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 2], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [3, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [3, 3], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 3], [3, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [2, 0], [2, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [2, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 2], [3, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 4], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 4], [2, 0], [2, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 4], [2, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[3, 2], [3, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[3, 3], [3, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [3, 0], [3, 2], [3, 0], [4, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 4]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 5], [4, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 5], [4, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [3, 3], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 3], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [2, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [3, 3], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [3, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [3, 2], [3, 3], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 3], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [3, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [3, 3], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 3], [3, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [2, 0], [2, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [2, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [3, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 2], [3, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[3, 2], [3, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[3, 3], [3, 0], [3, 2], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 5]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: 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1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1, 3], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [2, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1], [1, 1], [2, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], 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[[3, 2], [4, 0], [4, 2], [4, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[3, 4], [3, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[3, 4], [3, 0], [3, 2], [4, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[3, 4], [3, 0], [4, 2], [4, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[3, 4], [4, 0], [4, 2], [4, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[4, 2], [4, 0], [4, 2], [4, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 6]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: 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1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [4, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [4, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [4, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [4, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [4, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 1, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [4, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [4, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [4, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [4, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [4, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [4, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 5], [4, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[5, 2], [5, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[6, 4], [6, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 5], [4, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 5], [6, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[5, 2], [5, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[6, 4], [6, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[6, 0], [6, 0], [6, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 4]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [4, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [4, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [4, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [4, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 1, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [4, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [4, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [4, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [4, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 5], [3, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[5, 4], [5, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 5], [3, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 5], [5, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[5, 4], [5, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 4]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 4], [3, 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2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]], 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[0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [5, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [5, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], 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5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 1, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, &#34;idx&#34;: 0}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, 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{&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 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{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [4, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [4, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 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{&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: 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0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [3, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [2, 0], [2, 1], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [2, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [3, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 1], [3, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 1], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 3], [3, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[3, 1], [3, 0], [3, 1], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 5]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, 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[0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 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1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 4], [3, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 5], [3, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 5], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 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1], &#34;pos&#34;: [[0, 3], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 6], [0, 6], [3, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1, 3], &#34;pos&#34;: [[0, 6], [0, 3], [0, 6], [0, 6]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 6], [0, 3], [0, 6], [0, 6]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 6], [0, 3], [0, 6], [3, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 6], [0, 3], [0, 6]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 6], [0, 6], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 6], [0, 6], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 6], [0, 3], [0, 3], [0, 6]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 6], [0, 3], [0, 6], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 6], [0, 6], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 6], [0, 3], [0, 6], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 6], [0, 6], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 6], [0, 3], [0, 3], [0, 3], [0, 6]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 6], [0, 3], [0, 3], [0, 6], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 6], [0, 3], [0, 6], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 5], [0, 2], [0, 5]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 3], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 5], [0, 2], [0, 5]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 3], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 5], [0, 2], [0, 5]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 4], [0, 2], [0, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.obstruction_inferral&#34;, &#34;strategy_class&#34;: &#34;ObstructionInferralStrategy&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]}}]}, 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[0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 0, 1, 3], &#34;pos&#34;: [[0, 4], [0, 2], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 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{&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 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{&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 4], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 4], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [0, 2], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [0, 4], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, 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&#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, 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[2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], 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[0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 4], [0, 2], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: 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{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [1, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 4], [0, 2], [0, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: 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2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, 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1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, 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[[3, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4], [3, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: 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[[3, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4], [3, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [3, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [4, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 2], [3, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 2], [4, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 5], [3, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 6], [0, 6]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 6], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 6], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 6], [3, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 5], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 5], [3, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[4, 2], [4, 2], [4, 4]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[4, 4], [4, 2], [4, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 2], [4, 4], [4, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 4], [4, 4], [4, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 6], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 6], [4, 4], [4, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 5], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 5], [4, 4], [4, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 4], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 4], [4, 4], [4, 2]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[4, 4], [4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[4, 4], [4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[4, 4], [4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[4, 4], [4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[4, 4], [4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[4, 4], [4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 6], [4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[3, 5], [4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[4, 4], [4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 6], [4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[3, 5], [4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[4, 4], [4, 4], [4, 4], [4, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.obstruction_inferral&#34;, &#34;strategy_class&#34;: &#34;ObstructionInferralStrategy&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 4], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, 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0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 4], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], 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[[3, 3], [3, 3], [3, 5]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[3, 5], [3, 3], [3, 5]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 5], [3, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 5], [3, 5], [3, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 6], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 6], [3, 5], [3, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 5], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 5], [3, 5], [3, 3]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[3, 5], [3, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 5], [3, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[3, 5], [3, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[3, 5], [3, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[3, 5], [3, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 5], [3, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 6], [3, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[3, 5], [3, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 6], [3, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[3, 5], [3, 5], [3, 5], [3, 5]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[3, 2], [3, 2], [3, 4]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[3, 4], [3, 2], [3, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 4], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [3, 4], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 4], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4], [3, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], 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{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 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{&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 4], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4], [3, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [3, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [3, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], 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4], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4], [3, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: 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[[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, 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4]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4], [3, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [3, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 6], [2, 6]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: 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5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 6], [3, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[3, 5], [3, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 6], [3, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[3, 5], [3, 5], [3, 5], [3, 5]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: 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[[0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}, &#34;idx&#34;: 0}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.obstruction_inferral&#34;, &#34;strategy_class&#34;: &#34;ObstructionInferralStrategy&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]}}, &#34;idx&#34;: 0}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 5], [1, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 5], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 5], [1, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 5], [1, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 5], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 5], [1, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 5], [1, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 5], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 5], [1, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], 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[[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 5], [1, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 5], [1, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.obstruction_inferral&#34;, &#34;strategy_class&#34;: &#34;ObstructionInferralStrategy&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: 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[[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: 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{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: 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[[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: 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&#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 4], [0, 2], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 5], [0, 3], [0, 5]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: 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[0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 3], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [3, 3], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [2, 3], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [3, 3], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 3], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 3], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 3], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [3, 3], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [2, 3], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [3, 3], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 3], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 3], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 5], [4, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 5], [4, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 3], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 5]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 2], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 1], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [4, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 1], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [4, 1], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [4, 1], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 1], [4, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [4, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 1], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [4, 1], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [4, 1], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 1], [4, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, 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2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [4, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [4, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 0], [4, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 0], [4, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [4, 2], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 1], [4, 2], [4, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: 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&#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 5], [0, 3], [0, 5]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 5], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 5], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 5], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 5], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 5], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 5], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 5], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 5], [0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 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3], [0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 3], [3, 3]]}, 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3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, 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{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], 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{&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 5], [0, 5], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 4], [0, 4], [0, 4], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 4], [0, 4], [0, 5], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 4], [0, 5], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: 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{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 5], [2, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 4], [0, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 4], [2, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [2, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1], 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{&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 4], [0, 4], [0, 5], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 4], [0, 5], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, 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4], [0, 2], [0, 2], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 4], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 4], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [0, 2], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [0, 4], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 0]]}, 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6]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 5], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1, 3], &#34;pos&#34;: [[0, 6], [0, 5], [0, 6], [0, 6]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 6], [0, 5], [0, 6], [0, 6]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 5], [1, 2], [1, 3], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 2], [1, 3], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 6], [0, 5], [0, 6]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 6], [0, 6], [0, 5]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 6], [0, 6], [0, 5]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 6], [0, 5], [0, 5], [0, 6]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 6], [0, 5], [0, 6], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 6], [0, 6], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 5], [0, 6], [0, 5], [0, 6], [0, 5]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 6], [0, 6], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 6], [0, 5], [0, 5], [0, 5], [0, 6]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 6], [0, 5], [0, 5], [0, 6], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 6], [0, 5], [0, 6], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], 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2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 4], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 5], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 5], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 5], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 5], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 5], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 5], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1, 3], &#34;pos&#34;: [[0, 6], [0, 5], [0, 6], [0, 6]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 6], [0, 5], [0, 6], [0, 6]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 5], [1, 2], [1, 3], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 2], [1, 3], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 6], [0, 5], [0, 6]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 6], [0, 6], [0, 5]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 6], [0, 6], [0, 5]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 6], [0, 5], [0, 5], [0, 6]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 6], [0, 5], [0, 6], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 6], [0, 6], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 5], [0, 6], [0, 5], [0, 6], [0, 5]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 6], [0, 6], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 6], [0, 5], [0, 5], [0, 5], [0, 6]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 6], [0, 5], [0, 5], [0, 6], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 6], [0, 5], [0, 6], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 7]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 7]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], 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{&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 7]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[6, 5], [6, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 3], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [3, 4], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [4, 0]]}, 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1, 2], &#34;pos&#34;: [[0, 6], [0, 7], [0, 7], [0, 7]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 6], [0, 7], [0, 7], [0, 7]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1, 3], &#34;pos&#34;: [[0, 7], [0, 6], [0, 7], [0, 7]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 7], [0, 6], [0, 7], [0, 7]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 6], [1, 2], [1, 3], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 2], [1, 3], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 6], [0, 6], [0, 7], [0, 6], [0, 7]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 7], [0, 7], [0, 7], [0, 7], [0, 7]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 7], [0, 7], [0, 6]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 7], [0, 7], [0, 7], [0, 7], [0, 7]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 7], [0, 7], [0, 6]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 7], [0, 7], [0, 7], [0, 7], [0, 7]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 6], [0, 7], [0, 6], [0, 6], [0, 7]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 7], [0, 7], [0, 7], [0, 7], [0, 7]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 6], [0, 7], [0, 6], [0, 7], [0, 6]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 7], [0, 7], [0, 7], [0, 7], [0, 7]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 6], [0, 7], [0, 7], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 7], [0, 7], [0, 7], [0, 7], [0, 7]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 6], [0, 7], [0, 6], [0, 7], [0, 6]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 7], [0, 7], [0, 7], [0, 7], [0, 7]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 6], [0, 7], [0, 7], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 7], [0, 7], [0, 7], [0, 7], [0, 7]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 7], [0, 6], [0, 6], [0, 6], [0, 7]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 7], [0, 7], [0, 7], [0, 7], [0, 7]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 7], [0, 6], [0, 6], [0, 7], [0, 6]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 7], [0, 7], [0, 7], [0, 7], [0, 7]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 7], [0, 6], [0, 7], [0, 6], [0, 6]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 7], [0, 7], [0, 7], [0, 7], [0, 7]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 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2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 6], [0, 3], [0, 6]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], 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{&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 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&#34;pos&#34;: [[2, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 5], [2, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 5], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 5], [2, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 6], [0, 3], [0, 6]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [1, 1], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 5], [2, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 5], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 5], [2, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 6], [0, 3], [0, 6]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [1, 1], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 5], [0, 3], [0, 5]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.obstruction_inferral&#34;, &#34;strategy_class&#34;: &#34;ObstructionInferralStrategy&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 5], [0, 3], [0, 5]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 5], [0, 3], [0, 5]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: 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[[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1, 3], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [0, 3], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, 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{&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 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{&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [2, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 3], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 4], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [3, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 2], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 2], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [3, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [2, 0], [2, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [2, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [2, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 3], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 3], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 4], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [2, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [2, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 3], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 4], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [3, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 2], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 2], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [3, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [2, 0], [2, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [2, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 5], [2, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 5], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 5], [2, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 6], [2, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 6], [0, 3], [0, 6]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 4], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 4], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 5], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [2, 2], [2, 2]]}, 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{&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, 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1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 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[[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: 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{&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 5], [4, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 5], [4, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 4], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 3], [4, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 6], [0, 4], [0, 6]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 5]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 5], [0, 3], [0, 5]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 5], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 5], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 5], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 3], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 3], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 4], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 4], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 3], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 3], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 4], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [2, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 3], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 4], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [3, 1], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 1], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 1], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [3, 1], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [2, 0], [2, 1], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [2, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 1], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 3], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 3], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 4], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [2, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 3], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 4], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [3, 1], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 1], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 1], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [3, 1], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [2, 0], [2, 1], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [2, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 1], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.obstruction_inferral&#34;, &#34;strategy_class&#34;: &#34;ObstructionInferralStrategy&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 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[[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [], &#34;pos&#34;: []}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [], &#34;pos&#34;: []}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], &#34;indices&#34;: [0, 0, 0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: true}}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;VerificationRule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;strategy_class&#34;: &#34;BasicVerificationStrategy&#34;}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;VerificationRule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;strategy_class&#34;: &#34;BasicVerificationStrategy&#34;}}, {&#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;rule_class&#34;: &#34;OneByOneVerificationRule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;strategy_class&#34;: &#34;OneByOneVerificationStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;basis&#34;: [[0, 2, 3, 1, 4], [0, 2, 3, 4, 1], [0, 2, 4, 3, 1], [0, 3, 2, 1, 4], [0, 3, 2, 4, 1], [0, 3, 4, 2, 1], [0, 4, 2, 3, 1], [0, 4, 3, 2, 1], [3, 0, 2, 1, 4], [3, 0, 2, 4, 1], [3, 0, 4, 2, 1]], &#34;symmetry&#34;: false}}, {&#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;rule_class&#34;: &#34;OneByOneVerificationRule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;strategy_class&#34;: &#34;OneByOneVerificationStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;basis&#34;: [[0, 2, 3, 1, 4], [0, 2, 3, 4, 1], [0, 2, 4, 3, 1], [0, 3, 2, 1, 4], [0, 3, 2, 4, 1], [0, 3, 4, 2, 1], [0, 4, 2, 3, 1], [0, 4, 3, 2, 1], [3, 0, 2, 1, 4], [3, 0, 2, 4, 1], [3, 0, 4, 2, 1]], &#34;symmetry&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;VerificationRule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [], &#34;pos&#34;: []}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;strategy&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.strategy&#34;, &#34;strategy_class&#34;: &#34;EmptyStrategy&#34;}}]}<br /><br />

  Specification 3<br />
  Strategy pack name: point_placements_req_corrob<br />
  Tree: http://permpal.com/tree/25824/<br />
  System of equations in Maple syntax:<br />
  
    F[0,x] = F[1,x]+F[2,x]<br />
  
    F[1,x] = 1<br />
  
    F[2,x] = F[3,x]<br />
  
    F[3,x] = F[22,x]*F[4,x]<br />
  
    F[4,x] = F[0,x]+F[5,x]<br />
  
    F[5,x] = F[6,x]+F[7,x]<br />
  
    F[6,x] = (x^2+4*x-1)*F[6,x]^2+(4*x^2-5*x+2)*F[6,x]+4*x^2-x<br />
  
    F[7,x] = F[8,x]<br />
  
    F[8,x] = F[22,x]*F[9,x]<br />
  
    F[9,x] = F[10,x]+F[589,x]<br />
  
    F[10,x] = F[11,x]+F[66,x]<br />
  
    F[11,x] = F[12,x]+F[6,x]<br />
  
    F[12,x] = F[13,x]<br />
  
    F[13,x] = F[14,x]*F[22,x]<br />
  
    F[14,x] = F[15,x]+F[27,x]<br />
  
    F[15,x] = F[16,x]*F[22,x]<br />
  
    F[16,x] = 1/F[585,x]*F[17,x]<br />
  
    F[17,x] = -F[23,x]+F[18,x]<br />
  
    F[18,x] = F[19,x]<br />
  
    F[19,x] = F[20,x]*F[22,x]<br />
  
    F[20,x] = 1/F[22,x]*F[21,x]<br />
  
    F[21,x] = F[10,x]<br />
  
    F[22,x] = x<br />
  
    F[23,x] = F[24,x]<br />
  
    F[24,x] = F[22,x]*F[25,x]<br />
  
    F[25,x] = F[26,x]+F[579,x]<br />
  
    F[26,x] = F[27,x]+F[560,x]<br />
  
    F[27,x] = F[28,x]+F[558,x]<br />
  
    F[28,x] = F[29,x]+F[30,x]<br />
  
    F[29,x] = F[12,x]+F[2,x]<br />
  
    F[30,x] = F[31,x]<br />
  
    F[31,x] = F[22,x]*F[32,x]<br />
  
    F[32,x] = F[33,x]+F[557,x]<br />
  
    F[33,x] = F[34,x]+F[37,x]<br />
  
    F[34,x] = F[35,x]*F[4,x]<br />
  
    F[35,x] = -F[36,x]+F[16,x]<br />
  
    F[36,x] = -2+x^2+8*x+F[36,x]^2*(x^2+4*x-1)+(2*x^2-13*x+4)*F[36,x]<br />
  
    F[37,x] = F[0,x]*F[38,x]<br />
  
    F[38,x] = F[39,x]<br />
  
    F[39,x] = F[22,x]*F[40,x]<br />
  
    F[40,x] = F[41,x]<br />
  
    F[41,x] = -F[235,x]+F[42,x]<br />
  
    F[42,x] = 1/F[22,x]*F[43,x]<br />
  
    F[43,x] = F[44,x]<br />
  
    F[44,x] = F[45,x]<br />
  
    F[45,x] = F[22,x]*F[46,x]<br />
  
    F[46,x] = F[172,x]+F[47,x]<br />
  
    F[47,x] = F[48,x]+F[49,x]<br />
  
    F[48,x] = F[44,x]+F[6,x]<br />
  
    F[49,x] = F[50,x]<br />
  
    F[50,x] = F[22,x]*F[48,x]*F[51,x]<br />
  
    F[51,x] = F[52,x]+F[61,x]<br />
  
    F[52,x] = F[53,x]+F[56,x]<br />
  
    F[53,x] = F[1,x]+F[54,x]<br />
  
    F[54,x] = F[55,x]<br />
  
    F[55,x] = F[22,x]*F[53,x]<br />
  
    F[56,x] = F[57,x]<br />
  
    F[57,x] = F[22,x]*F[52,x]*F[53,x]*F[58,x]<br />
  
    F[58,x] = F[1,x]+F[59,x]<br />
  
    F[59,x] = F[60,x]<br />
  
    F[60,x] = F[22,x]*F[52,x]<br />
  
    F[61,x] = 1/F[11,x]*F[62,x]<br />
  
    F[62,x] = F[63,x]<br />
  
    F[63,x] = -F[152,x]+F[64,x]<br />
  
    F[64,x] = 1/F[22,x]*F[65,x]<br />
  
    F[65,x] = F[66,x]<br />
  
    F[66,x] = F[67,x]<br />
  
    F[67,x] = F[22,x]*F[68,x]<br />
  
    F[68,x] = F[132,x]+F[69,x]<br />
  
    F[69,x] = F[123,x]+F[70,x]<br />
  
    F[70,x] = F[71,x]<br />
  
    F[71,x] = F[22,x]*F[58,x]*F[72,x]<br />
  
    F[72,x] = F[73,x]+F[77,x]<br />
  
    F[73,x] = F[74,x]+F[76,x]<br />
  
    F[74,x] = 1/F[22,x]*F[75,x]<br />
  
    F[75,x] = F[5,x]<br />
  
    F[76,x] = F[0,x]*F[6,x]<br />
  
    F[77,x] = F[104,x]+F[78,x]<br />
  
    F[78,x] = F[79,x]<br />
  
    F[79,x] = F[22,x]*F[80,x]<br />
  
    F[80,x] = F[81,x]+F[82,x]<br />
  
    F[81,x] = F[51,x]*F[74,x]<br />
  
    F[82,x] = F[83,x]<br />
  
    F[83,x] = F[61,x]*F[84,x]<br />
  
    F[84,x] = -F[90,x]+F[85,x]<br />
  
    F[85,x] = 1/F[22,x]*F[86,x]<br />
  
    F[86,x] = F[87,x]<br />
  
    F[87,x] = F[11,x]+F[88,x]<br />
  
    F[88,x] = F[89,x]<br />
  
    F[89,x] = F[0,x]*F[22,x]*F[6,x]<br />
  
    F[90,x] = F[91,x]<br />
  
    F[91,x] = F[0,x]*F[22,x]*F[92,x]<br />
  
    F[92,x] = 1/F[0,x]*F[93,x]<br />
  
    F[93,x] = -F[99,x]+F[94,x]<br />
  
    F[94,x] = 1/F[22,x]*F[95,x]<br />
  
    F[95,x] = F[96,x]<br />
  
    F[96,x] = -F[0,x]+F[97,x]<br />
  
    F[97,x] = 1/F[22,x]*F[98,x]<br />
  
    F[98,x] = F[2,x]<br />
  
    F[99,x] = -F[103,x]+F[100,x]<br />
  
    F[100,x] = 1/F[22,x]*F[101,x]<br />
  
    F[101,x] = F[102,x]<br />
  
    F[102,x] = -F[6,x]+F[96,x]<br />
  
    F[103,x] = F[2,x]*F[92,x]<br />
  
    F[104,x] = F[0,x]*F[105,x]<br />
  
    F[105,x] = -F[6,x]+F[106,x]<br />
  
    F[106,x] = -F[58,x]+F[107,x]<br />
  
    F[107,x] = 1/F[118,x]*F[108,x]<br />
  
    F[108,x] = -F[111,x]+F[109,x]<br />
  
    F[109,x] = 1/F[22,x]*F[110,x]<br />
  
    F[110,x] = F[96,x]<br />
  
    F[111,x] = -F[114,x]+F[112,x]<br />
  
    F[112,x] = 1/F[22,x]*F[113,x]<br />
  
    F[113,x] = F[102,x]<br />
  
    F[114,x] = F[107,x]*F[115,x]<br />
  
    F[115,x] = F[116,x]<br />
  
    F[116,x] = F[117,x]*F[22,x]<br />
  
    F[117,x] = F[118,x]+F[119,x]<br />
  
    F[118,x] = F[1,x]+F[115,x]<br />
  
    F[119,x] = F[120,x]+F[54,x]<br />
  
    F[120,x] = F[121,x]<br />
  
    F[121,x] = F[122,x]*F[22,x]<br />
  
    F[122,x] = F[115,x]+F[120,x]<br />
  
    F[123,x] = F[124,x]<br />
  
    F[124,x] = F[11,x]*F[125,x]*F[58,x]<br />
  
    F[125,x] = F[126,x]+F[22,x]<br />
  
    F[126,x] = F[127,x]<br />
  
    F[127,x] = F[128,x]*F[22,x]<br />
  
    F[128,x] = F[129,x]+F[59,x]<br />
  
    F[129,x] = F[130,x]<br />
  
    F[130,x] = F[58,x]^2*F[131,x]*F[22,x]<br />
  
    F[131,x] = F[129,x]+F[58,x]<br />
  
    F[132,x] = F[133,x]<br />
  
    F[133,x] = F[134,x]+F[138,x]<br />
  
    F[134,x] = F[135,x]*F[22,x]<br />
  
    F[135,x] = F[136,x]+F[137,x]<br />
  
    F[136,x] = F[0,x]*F[36,x]<br />
  
    F[137,x] = F[5,x]*F[58,x]<br />
  
    F[138,x] = F[139,x]<br />
  
    F[139,x] = F[140,x]*F[22,x]<br />
  
    F[140,x] = F[141,x]+F[146,x]<br />
  
    F[141,x] = F[142,x]+F[144,x]<br />
  
    F[142,x] = F[0,x]*F[143,x]<br />
  
    F[143,x] = F[105,x]+F[59,x]<br />
  
    F[144,x] = F[145,x]<br />
  
    F[145,x] = F[5,x]*F[58,x]*F[59,x]<br />
  
    F[146,x] = F[147,x]<br />
  
    F[147,x] = F[148,x]*F[22,x]<br />
  
    F[148,x] = F[149,x]+F[151,x]<br />
  
    F[149,x] = F[131,x]*F[150,x]<br />
  
    F[150,x] = F[135,x]+F[141,x]<br />
  
    F[151,x] = F[146,x]*F[58,x]<br />
  
    F[152,x] = F[153,x]+F[154,x]<br />
  
    F[153,x] = F[5,x]*F[52,x]<br />
  
    F[154,x] = F[155,x]<br />
  
    F[155,x] = F[156,x]*F[22,x]<br />
  
    F[156,x] = F[157,x]+F[167,x]<br />
  
    F[157,x] = F[158,x]*F[53,x]<br />
  
    F[158,x] = F[153,x]+F[159,x]<br />
  
    F[159,x] = -F[162,x]+F[160,x]<br />
  
    F[160,x] = 1/F[22,x]*F[161,x]<br />
  
    F[161,x] = F[5,x]<br />
  
    F[162,x] = -F[165,x]+F[163,x]<br />
  
    F[163,x] = 1/F[22,x]*F[164,x]<br />
  
    F[164,x] = F[7,x]<br />
  
    F[165,x] = F[166,x]*F[2,x]<br />
  
    F[166,x] = 1/F[0,x]*F[159,x]<br />
  
    F[167,x] = F[168,x]<br />
  
    F[168,x] = F[169,x]*F[22,x]*F[53,x]<br />
  
    F[169,x] = F[170,x]+F[171,x]<br />
  
    F[170,x] = F[156,x]*F[58,x]<br />
  
    F[171,x] = F[129,x]*F[158,x]<br />
  
    F[172,x] = -F[554,x]+F[173,x]<br />
  
    F[173,x] = F[174,x]+F[553,x]<br />
  
    F[174,x] = F[175,x]+F[545,x]<br />
  
    F[175,x] = F[176,x]+F[48,x]<br />
  
    F[176,x] = F[177,x]<br />
  
    F[177,x] = F[178,x]*F[22,x]<br />
  
    F[178,x] = F[179,x]<br />
  
    F[179,x] = F[180,x]*F[22,x]<br />
  
    F[180,x] = 1/F[22,x]*F[181,x]<br />
  
    F[181,x] = F[182,x]<br />
  
    F[182,x] = -F[350,x]+F[183,x]<br />
  
    F[183,x] = 1/F[0,x]/F[22,x]*F[184,x]<br />
  
    F[184,x] = F[185,x]<br />
  
    F[185,x] = F[11,x]+F[186,x]<br />
  
    F[186,x] = F[187,x]<br />
  
    F[187,x] = F[188,x]*F[22,x]<br />
  
    F[188,x] = F[189,x]+F[192,x]<br />
  
    F[189,x] = F[185,x]+F[190,x]<br />
  
    F[190,x] = F[191,x]<br />
  
    F[191,x] = F[185,x]*F[22,x]*F[51,x]<br />
  
    F[192,x] = F[193,x]+F[195,x]<br />
  
    F[193,x] = F[185,x]+F[194,x]<br />
  
    F[194,x] = F[37,x]<br />
  
    F[195,x] = F[196,x]+F[543,x]<br />
  
    F[196,x] = F[197,x]<br />
  
    F[197,x] = F[198,x]*F[22,x]<br />
  
    F[198,x] = F[199,x]+F[541,x]<br />
  
    F[199,x] = F[200,x]+F[204,x]<br />
  
    F[200,x] = F[201,x]<br />
  
    F[201,x] = F[11,x]*F[202,x]<br />
  
    F[202,x] = 1/F[22,x]*F[203,x]<br />
  
    F[203,x] = F[61,x]<br />
  
    F[204,x] = F[205,x]+F[539,x]<br />
  
    F[205,x] = F[0,x]*F[206,x]<br />
  
    F[206,x] = -F[433,x]+F[207,x]<br />
  
    F[207,x] = F[208,x]<br />
  
    F[208,x] = -F[324,x]+F[209,x]<br />
  
    F[209,x] = 1/F[22,x]*F[210,x]<br />
  
    F[210,x] = F[211,x]<br />
  
    F[211,x] = F[212,x]+F[222,x]<br />
  
    F[212,x] = F[213,x]+F[221,x]<br />
  
    F[213,x] = F[214,x]+F[215,x]<br />
  
    F[214,x] = -F[36,x]+F[16,x]<br />
  
    F[215,x] = F[216,x]<br />
  
    F[216,x] = F[217,x]*F[22,x]<br />
  
    F[217,x] = F[211,x]+F[218,x]<br />
  
    F[218,x] = F[213,x]+F[219,x]<br />
  
    F[219,x] = F[220,x]<br />
  
    F[220,x] = F[213,x]*F[22,x]*F[51,x]<br />
  
    F[221,x] = F[38,x]<br />
  
    F[222,x] = -F[320,x]+F[223,x]<br />
  
    F[223,x] = F[224,x]+F[315,x]<br />
  
    F[224,x] = -F[309,x]+F[225,x]<br />
  
    F[225,x] = F[226,x]<br />
  
    F[226,x] = F[22,x]*F[227,x]<br />
  
    F[227,x] = F[228,x]+F[307,x]<br />
  
    F[228,x] = 1/F[22,x]/F[58,x]*F[229,x]<br />
  
    F[229,x] = F[230,x]<br />
  
    F[230,x] = -F[289,x]+F[231,x]<br />
  
    F[231,x] = F[232,x]+F[270,x]<br />
  
    F[232,x] = F[233,x]+F[253,x]<br />
  
    F[233,x] = F[107,x]+F[234,x]<br />
  
    F[234,x] = F[235,x]<br />
  
    F[235,x] = F[236,x]<br />
  
    F[236,x] = F[22,x]*F[237,x]*F[58,x]<br />
  
    F[237,x] = F[238,x]+F[239,x]<br />
  
    F[238,x] = F[107,x]*F[131,x]<br />
  
    F[239,x] = F[240,x]+F[241,x]<br />
  
    F[240,x] = -F[131,x]+F[233,x]<br />
  
    F[241,x] = F[242,x]*F[6,x]<br />
  
    F[242,x] = 1/F[22,x]*F[243,x]<br />
  
    F[243,x] = F[244,x]<br />
  
    F[244,x] = -F[126,x]+F[245,x]<br />
  
    F[245,x] = F[246,x]+F[247,x]<br />
  
    F[246,x] = F[22,x]*F[59,x]<br />
  
    F[247,x] = F[248,x]<br />
  
    F[248,x] = F[22,x]*F[249,x]*F[58,x]<br />
  
    F[249,x] = F[250,x]+F[251,x]<br />
  
    F[250,x] = F[125,x]*F[131,x]<br />
  
    F[251,x] = F[252,x]*F[58,x]<br />
  
    F[252,x] = F[125,x]+F[244,x]<br />
  
    F[253,x] = -F[258,x]+F[254,x]<br />
  
    F[254,x] = 1/F[22,x]*F[255,x]<br />
  
    F[255,x] = F[256,x]<br />
  
    F[256,x] = F[22,x]*F[257,x]<br />
  
    F[257,x] = F[258,x]+F[266,x]<br />
  
    F[258,x] = F[233,x]+F[259,x]<br />
  
    F[259,x] = F[260,x]+F[261,x]<br />
  
    F[260,x] = F[107,x]*F[22,x]<br />
  
    F[261,x] = F[262,x]<br />
  
    F[262,x] = F[22,x]*F[263,x]<br />
  
    F[263,x] = F[264,x]+F[265,x]<br />
  
    F[264,x] = F[125,x]*F[237,x]<br />
  
    F[265,x] = F[107,x]*F[252,x]*F[58,x]<br />
  
    F[266,x] = F[267,x]<br />
  
    F[267,x] = F[260,x]+F[268,x]<br />
  
    F[268,x] = F[269,x]<br />
  
    F[269,x] = F[107,x]*F[22,x]*F[249,x]<br />
  
    F[270,x] = F[271,x]<br />
  
    F[271,x] = F[22,x]*F[272,x]<br />
  
    F[272,x] = F[273,x]+F[276,x]<br />
  
    F[273,x] = F[131,x]*F[274,x]<br />
  
    F[274,x] = 1/F[22,x]*F[275,x]<br />
  
    F[275,x] = F[35,x]<br />
  
    F[276,x] = F[16,x]*F[277,x]*F[58,x]<br />
  
    F[277,x] = 1/F[4,x]*F[278,x]<br />
  
    F[278,x] = -F[283,x]+F[279,x]<br />
  
    F[279,x] = 1/F[22,x]*F[280,x]<br />
  
    F[280,x] = F[281,x]<br />
  
    F[281,x] = F[22,x]*F[282,x]<br />
  
    F[282,x] = F[283,x]+F[287,x]<br />
  
    F[283,x] = F[284,x]+F[285,x]<br />
  
    F[284,x] = F[131,x]*F[4,x]<br />
  
    F[285,x] = F[252,x]*F[286,x]<br />
  
    F[286,x] = F[0,x]+F[11,x]<br />
  
    F[287,x] = F[288,x]<br />
  
    F[288,x] = F[252,x]*F[4,x]<br />
  
    F[289,x] = F[290,x]+F[293,x]<br />
  
    F[290,x] = F[107,x]+F[291,x]<br />
  
    F[291,x] = F[292,x]<br />
  
    F[292,x] = F[22,x]*F[274,x]*F[58,x]<br />
  
    F[293,x] = -F[301,x]+F[294,x]<br />
  
    F[294,x] = 1/F[22,x]*F[295,x]<br />
  
    F[295,x] = F[296,x]<br />
  
    F[296,x] = F[214,x]+F[297,x]<br />
  
    F[297,x] = F[298,x]<br />
  
    F[298,x] = F[22,x]*F[299,x]<br />
  
    F[299,x] = F[300,x]+F[6,x]<br />
  
    F[300,x] = F[59,x]*F[6,x]<br />
  
    F[301,x] = F[290,x]+F[302,x]<br />
  
    F[302,x] = F[303,x]<br />
  
    F[303,x] = F[22,x]*F[304,x]<br />
  
    F[304,x] = F[107,x]+F[305,x]<br />
  
    F[305,x] = F[306,x]<br />
  
    F[306,x] = F[58,x]^2*F[6,x]<br />
  
    F[307,x] = F[308,x]<br />
  
    F[308,x] = F[252,x]*F[304,x]<br />
  
    F[309,x] = F[310,x]+F[311,x]<br />
  
    F[310,x] = F[214,x]*F[58,x]<br />
  
    F[311,x] = F[312,x]<br />
  
    F[312,x] = F[125,x]*F[22,x]*F[313,x]<br />
  
    F[313,x] = F[16,x]+F[314,x]<br />
  
    F[314,x] = F[306,x]<br />
  
    F[315,x] = F[316,x]<br />
  
    F[316,x] = F[317,x]<br />
  
    F[317,x] = F[22,x]*F[318,x]*F[58,x]*F[6,x]<br />
  
    F[318,x] = 1/F[22,x]/F[58,x]*F[319,x]<br />
  
    F[319,x] = F[244,x]<br />
  
    F[320,x] = F[321,x]<br />
  
    F[321,x] = -F[311,x]+F[322,x]<br />
  
    F[322,x] = F[323,x]<br />
  
    F[323,x] = F[22,x]*F[252,x]*F[313,x]<br />
  
    F[324,x] = F[325,x]+F[329,x]<br />
  
    F[325,x] = -F[536,x]+F[326,x]<br />
  
    F[326,x] = -F[415,x]+F[327,x]<br />
  
    F[327,x] = F[328,x]+F[336,x]<br />
  
    F[328,x] = -F[329,x]+F[209,x]<br />
  
    F[329,x] = F[330,x]+F[332,x]<br />
  
    F[330,x] = 1/F[22,x]*F[331,x]<br />
  
    F[331,x] = F[38,x]<br />
  
    F[332,x] = F[333,x]<br />
  
    F[333,x] = F[334,x]*F[6,x]<br />
  
    F[334,x] = 1/F[22,x]*F[335,x]<br />
  
    F[335,x] = F[244,x]<br />
  
    F[336,x] = F[337,x]<br />
  
    F[337,x] = F[22,x]*F[338,x]<br />
  
    F[338,x] = 1/F[22,x]^2*F[339,x]<br />
  
    F[339,x] = F[340,x]<br />
  
    F[340,x] = -F[412,x]+F[341,x]<br />
  
    F[341,x] = -F[408,x]+F[342,x]<br />
  
    F[342,x] = F[343,x]+F[393,x]<br />
  
    F[343,x] = -F[387,x]+F[344,x]<br />
  
    F[344,x] = F[345,x]+F[354,x]<br />
  
    F[345,x] = F[212,x]+F[346,x]<br />
  
    F[346,x] = F[347,x]<br />
  
    F[347,x] = F[22,x]^2*F[348,x]<br />
  
    F[348,x] = F[330,x]+F[349,x]<br />
  
    F[349,x] = F[350,x]+F[352,x]<br />
  
    F[350,x] = 1/F[22,x]*F[351,x]<br />
  
    F[351,x] = F[48,x]<br />
  
    F[352,x] = F[353,x]<br />
  
    F[353,x] = F[202,x]*F[6,x]<br />
  
    F[354,x] = F[355,x]+F[356,x]<br />
  
    F[355,x] = F[218,x]+F[222,x]<br />
  
    F[356,x] = F[357,x]<br />
  
    F[357,x] = F[22,x]^2*F[358,x]<br />
  
    F[358,x] = F[359,x]+F[363,x]<br />
  
    F[359,x] = 1/F[22,x]*F[360,x]<br />
  
    F[360,x] = F[361,x]<br />
  
    F[361,x] = -F[362,x]+F[46,x]<br />
  
    F[362,x] = F[38,x]+F[48,x]<br />
  
    F[363,x] = F[364,x]<br />
  
    F[364,x] = F[365,x]*F[58,x]*F[6,x]<br />
  
    F[365,x] = 1/F[22,x]/F[53,x]*F[366,x]<br />
  
    F[366,x] = F[367,x]<br />
  
    F[367,x] = F[22,x]*F[368,x]*F[52,x]*F[58,x]<br />
  
    F[368,x] = 1/F[118,x]/F[22,x]*F[369,x]<br />
  
    F[369,x] = F[370,x]<br />
  
    F[370,x] = F[22,x]*F[371,x]<br />
  
    F[371,x] = F[372,x]+F[373,x]<br />
  
    F[372,x] = F[118,x]*F[131,x]<br />
  
    F[373,x] = F[374,x]*F[58,x]<br />
  
    F[374,x] = F[22,x]+F[375,x]<br />
  
    F[375,x] = F[376,x]+F[377,x]+F[386,x]<br />
  
    F[376,x] = 0<br />
  
    F[377,x] = F[22,x]*F[378,x]<br />
  
    F[378,x] = F[374,x]+F[379,x]<br />
  
    F[379,x] = F[380,x]+F[383,x]<br />
  
    F[380,x] = F[381,x]<br />
  
    F[381,x] = F[22,x]*F[382,x]<br />
  
    F[382,x] = F[22,x]+F[380,x]<br />
  
    F[383,x] = F[384,x]<br />
  
    F[384,x] = F[22,x]*F[385,x]<br />
  
    F[385,x] = F[375,x]+F[383,x]<br />
  
    F[386,x] = F[22,x]*F[54,x]<br />
  
    F[387,x] = F[218,x]+F[388,x]<br />
  
    F[388,x] = F[389,x]<br />
  
    F[389,x] = F[22,x]*F[390,x]<br />
  
    F[390,x] = F[391,x]+F[47,x]<br />
  
    F[391,x] = F[392,x]<br />
  
    F[392,x] = F[129,x]*F[58,x]*F[6,x]<br />
  
    F[393,x] = F[394,x]<br />
  
    F[394,x] = F[22,x]*F[395,x]<br />
  
    F[395,x] = F[396,x]+F[407,x]<br />
  
    F[396,x] = -F[406,x]+F[397,x]<br />
  
    F[397,x] = -F[405,x]+F[398,x]<br />
  
    F[398,x] = 1/F[22,x]*F[399,x]<br />
  
    F[399,x] = F[400,x]<br />
  
    F[400,x] = F[22,x]*F[401,x]<br />
  
    F[401,x] = F[402,x]+F[403,x]<br />
  
    F[402,x] = F[291,x]+F[293,x]<br />
  
    F[403,x] = F[404,x]<br />
  
    F[404,x] = F[58,x]^2*F[22,x]*F[6,x]<br />
  
    F[405,x] = F[16,x]*F[22,x]*F[59,x]<br />
  
    F[406,x] = F[16,x]*F[59,x]<br />
  
    F[407,x] = F[129,x]*F[299,x]<br />
  
    F[408,x] = F[409,x]<br />
  
    F[409,x] = F[410,x]*F[411,x]<br />
  
    F[410,x] = F[316,x]+F[38,x]<br />
  
    F[411,x] = F[1,x]+F[22,x]<br />
  
    F[412,x] = -F[414,x]+F[413,x]<br />
  
    F[413,x] = F[211,x]+F[393,x]<br />
  
    F[414,x] = F[410,x]<br />
  
    F[415,x] = F[416,x]<br />
  
    F[416,x] = -F[531,x]+F[417,x]<br />
  
    F[417,x] = F[418,x]+F[521,x]<br />
  
    F[418,x] = F[419,x]+F[520,x]<br />
  
    F[419,x] = F[420,x]+F[431,x]<br />
  
    F[420,x] = F[329,x]+F[421,x]<br />
  
    F[421,x] = 1/F[22,x]*F[422,x]<br />
  
    F[422,x] = F[423,x]<br />
  
    F[423,x] = 1/F[411,x]*F[424,x]<br />
  
    F[424,x] = -F[428,x]+F[425,x]<br />
  
    F[425,x] = F[426,x]+F[430,x]<br />
  
    F[426,x] = -F[410,x]+F[427,x]<br />
  
    F[427,x] = F[172,x]+F[428,x]<br />
  
    F[428,x] = F[429,x]<br />
  
    F[429,x] = F[22,x]*F[396,x]<br />
  
    F[430,x] = F[22,x]*F[423,x]<br />
  
    F[431,x] = F[432,x]<br />
  
    F[432,x] = F[182,x]+F[433,x]<br />
  
    F[433,x] = F[434,x]<br />
  
    F[434,x] = F[435,x]*F[6,x]<br />
  
    F[435,x] = 1/F[118,x]/F[53,x]*F[436,x]<br />
  
    F[436,x] = F[437,x]<br />
  
    F[437,x] = -F[509,x]+F[438,x]<br />
  
    F[438,x] = 1/F[22,x]*F[439,x]<br />
  
    F[439,x] = F[440,x]<br />
  
    F[440,x] = -F[491,x]+F[441,x]<br />
  
    F[441,x] = 1/F[22,x]*F[442,x]<br />
  
    F[442,x] = F[443,x]<br />
  
    F[443,x] = -F[490,x]+F[444,x]<br />
  
    F[444,x] = -F[464,x]+F[445,x]<br />
  
    F[445,x] = 1/F[22,x]*F[446,x]<br />
  
    F[446,x] = F[447,x]<br />
  
    F[447,x] = -F[2,x]+F[448,x]<br />
  
    F[448,x] = -F[451,x]+F[449,x]<br />
  
    F[449,x] = 1/F[22,x]*F[450,x]<br />
  
    F[450,x] = F[2,x]<br />
  
    F[451,x] = F[1,x]+F[452,x]<br />
  
    F[452,x] = F[453,x]<br />
  
    F[453,x] = F[22,x]*F[454,x]<br />
  
    F[454,x] = F[451,x]+F[455,x]<br />
  
    F[455,x] = F[115,x]+F[456,x]<br />
  
    F[456,x] = F[376,x]+F[457,x]+F[460,x]<br />
  
    F[457,x] = F[22,x]*F[458,x]<br />
  
    F[458,x] = F[459,x]<br />
  
    F[459,x] = F[452,x]+F[456,x]<br />
  
    F[460,x] = F[22,x]*F[461,x]<br />
  
    F[461,x] = F[462,x]+F[463,x]<br />
  
    F[462,x] = F[54,x]<br />
  
    F[463,x] = F[120,x]<br />
  
    F[464,x] = -F[468,x]+F[465,x]<br />
  
    F[465,x] = 1/F[22,x]*F[466,x]<br />
  
    F[466,x] = F[467,x]<br />
  
    F[467,x] = F[447,x]+F[452,x]<br />
  
    F[468,x] = F[469,x]+F[470,x]<br />
  
    F[469,x] = F[451,x]*F[58,x]<br />
  
    F[470,x] = F[471,x]<br />
  
    F[471,x] = F[22,x]*F[472,x]<br />
  
    F[472,x] = F[473,x]+F[489,x]<br />
  
    F[473,x] = F[474,x]+F[475,x]<br />
  
    F[474,x] = F[131,x]*F[454,x]<br />
  
    F[475,x] = F[476,x]<br />
  
    F[476,x] = -F[481,x]+F[477,x]<br />
  
    F[477,x] = 1/F[22,x]*F[478,x]<br />
  
    F[478,x] = F[479,x]<br />
  
    F[479,x] = F[22,x]*F[480,x]<br />
  
    F[480,x] = F[481,x]+F[487,x]<br />
  
    F[481,x] = F[482,x]+F[485,x]<br />
  
    F[482,x] = F[131,x]*F[483,x]<br />
  
    F[483,x] = F[454,x]+F[484,x]<br />
  
    F[484,x] = F[118,x]*F[54,x]<br />
  
    F[485,x] = F[486,x]<br />
  
    F[486,x] = F[118,x]*F[277,x]*F[53,x]<br />
  
    F[487,x] = F[488,x]<br />
  
    F[488,x] = F[118,x]*F[252,x]*F[53,x]<br />
  
    F[489,x] = F[486,x]<br />
  
    F[490,x] = F[451,x]*F[59,x]<br />
  
    F[491,x] = F[492,x]<br />
  
    F[492,x] = F[22,x]*F[493,x]<br />
  
    F[493,x] = F[494,x]+F[507,x]<br />
  
    F[494,x] = F[495,x]+F[505,x]<br />
  
    F[495,x] = F[496,x]*F[52,x]<br />
  
    F[496,x] = F[497,x]+F[503,x]<br />
  
    F[497,x] = F[454,x]+F[498,x]<br />
  
    F[498,x] = F[22,x]+F[499,x]<br />
  
    F[499,x] = F[376,x]+F[500,x]+F[501,x]<br />
  
    F[500,x] = F[115,x]*F[22,x]<br />
  
    F[501,x] = F[22,x]*F[502,x]<br />
  
    F[502,x] = F[498,x]<br />
  
    F[503,x] = F[504,x]<br />
  
    F[504,x] = F[118,x]*F[22,x]*F[53,x]<br />
  
    F[505,x] = F[506,x]<br />
  
    F[506,x] = F[118,x]*F[53,x]*F[61,x]<br />
  
    F[507,x] = F[508,x]<br />
  
    F[508,x] = F[118,x]*F[202,x]*F[22,x]*F[53,x]<br />
  
    F[509,x] = F[510,x]+F[511,x]<br />
  
    F[510,x] = F[202,x]*F[454,x]<br />
  
    F[511,x] = F[512,x]<br />
  
    F[512,x] = -F[515,x]+F[513,x]<br />
  
    F[513,x] = 1/F[22,x]*F[514,x]<br />
  
    F[514,x] = F[440,x]<br />
  
    F[515,x] = -F[518,x]+F[516,x]<br />
  
    F[516,x] = 1/F[22,x]*F[517,x]<br />
  
    F[517,x] = F[440,x]<br />
  
    F[518,x] = F[519,x]<br />
  
    F[519,x] = F[118,x]*F[334,x]*F[53,x]<br />
  
    F[520,x] = F[22,x]*F[420,x]<br />
  
    F[521,x] = F[522,x]<br />
  
    F[522,x] = F[22,x]*F[523,x]<br />
  
    F[523,x] = 1/F[22,x]*F[524,x]<br />
  
    F[524,x] = F[525,x]<br />
  
    F[525,x] = -F[528,x]+F[526,x]<br />
  
    F[526,x] = 1/F[22,x]*F[527,x]<br />
  
    F[527,x] = F[296,x]<br />
  
    F[528,x] = F[411,x]*F[529,x]<br />
  
    F[529,x] = F[166,x]+F[530,x]<br />
  
    F[530,x] = F[52,x]*F[6,x]<br />
  
    F[531,x] = F[432,x]+F[532,x]<br />
  
    F[532,x] = F[533,x]+F[535,x]<br />
  
    F[533,x] = F[521,x]+F[534,x]<br />
  
    F[534,x] = F[349,x]*F[411,x]<br />
  
    F[535,x] = F[329,x]*F[411,x]<br />
  
    F[536,x] = F[537,x]<br />
  
    F[537,x] = F[22,x]*F[538,x]<br />
  
    F[538,x] = -F[207,x]+F[338,x]<br />
  
    F[539,x] = F[540,x]<br />
  
    F[540,x] = F[11,x]*F[435,x]<br />
  
    F[541,x] = F[542,x]<br />
  
    F[542,x] = F[0,x]*F[435,x]*F[6,x]<br />
  
    F[543,x] = F[544,x]<br />
  
    F[544,x] = F[11,x]*F[22,x]*F[318,x]*F[58,x]<br />
  
    F[545,x] = -F[551,x]+F[546,x]<br />
  
    F[546,x] = F[547,x]+F[549,x]<br />
  
    F[547,x] = F[548,x]<br />
  
    F[548,x] = F[22,x]*F[237,x]<br />
  
    F[549,x] = F[550,x]<br />
  
    F[550,x] = F[252,x]*F[6,x]<br />
  
    F[551,x] = F[552,x]*F[6,x]<br />
  
    F[552,x] = F[125,x]+F[58,x]<br />
  
    F[553,x] = F[410,x]<br />
  
    F[554,x] = F[555,x]<br />
  
    F[555,x] = F[176,x]+F[556,x]<br />
  
    F[556,x] = F[244,x]*F[6,x]<br />
  
    F[557,x] = F[0,x]*F[361,x]<br />
  
    F[558,x] = F[559,x]<br />
  
    F[559,x] = F[16,x]*F[2,x]*F[22,x]<br />
  
    F[560,x] = F[561,x]+F[577,x]<br />
  
    F[561,x] = F[562,x]+F[563,x]<br />
  
    F[562,x] = F[5,x]+F[66,x]<br />
  
    F[563,x] = F[564,x]<br />
  
    F[564,x] = F[22,x]*F[565,x]<br />
  
    F[565,x] = F[566,x]+F[575,x]<br />
  
    F[566,x] = F[567,x]+F[569,x]<br />
  
    F[567,x] = F[568,x]<br />
  
    F[568,x] = F[561,x]*F[58,x]<br />
  
    F[569,x] = F[570,x]<br />
  
    F[570,x] = F[125,x]*F[571,x]<br />
  
    F[571,x] = F[572,x]+F[573,x]<br />
  
    F[572,x] = F[0,x]*F[16,x]<br />
  
    F[573,x] = F[574,x]<br />
  
    F[574,x] = F[58,x]^2*F[5,x]<br />
  
    F[575,x] = F[576,x]<br />
  
    F[576,x] = F[58,x]^2*F[11,x]*F[125,x]<br />
  
    F[577,x] = F[578,x]<br />
  
    F[578,x] = F[58,x]^2*F[22,x]*F[5,x]<br />
  
    F[579,x] = F[580,x]<br />
  
    F[580,x] = F[22,x]*F[581,x]<br />
  
    F[581,x] = F[582,x]+F[583,x]<br />
  
    F[582,x] = F[16,x]*F[2,x]<br />
  
    F[583,x] = F[584,x]<br />
  
    F[584,x] = F[58,x]^2*F[11,x]<br />
  
    F[585,x] = F[586,x]<br />
  
    F[586,x] = F[22,x]*F[587,x]<br />
  
    F[587,x] = F[411,x]+F[588,x]<br />
  
    F[588,x] = F[22,x]<br />
  
    F[589,x] = F[590,x]<br />
  
    F[590,x] = F[22,x]*F[591,x]<br />
  
    F[591,x] = F[592,x]+F[602,x]<br />
  
    F[592,x] = F[593,x]+F[595,x]<br />
  
    F[593,x] = F[589,x]+F[594,x]<br />
  
    F[594,x] = F[10,x]+F[4,x]<br />
  
    F[595,x] = -F[599,x]+F[596,x]<br />
  
    F[596,x] = 1/F[22,x]*F[597,x]<br />
  
    F[597,x] = F[598,x]<br />
  
    F[598,x] = -F[214,x]+F[10,x]<br />
  
    F[599,x] = F[600,x]+F[601,x]<br />
  
    F[600,x] = F[0,x]*F[48,x]<br />
  
    F[601,x] = F[11,x]*F[129,x]<br />
  
    F[602,x] = F[603,x]+F[607,x]<br />
  
    F[603,x] = F[604,x]+F[606,x]<br />
  
    F[604,x] = -F[605,x]+F[9,x]<br />
  
    F[605,x] = F[4,x]*F[6,x]<br />
  
    F[606,x] = F[37,x]<br />
  
    F[607,x] = -F[606,x]+F[608,x]<br />
  
    F[608,x] = F[609,x]+F[699,x]<br />
  
    F[609,x] = -F[698,x]+F[610,x]<br />
  
    F[610,x] = F[611,x]<br />
  
    F[611,x] = F[22,x]*F[612,x]<br />
  
    F[612,x] = F[613,x]+F[695,x]<br />
  
    F[613,x] = 1/F[22,x]/F[58,x]*F[614,x]<br />
  
    F[614,x] = F[615,x]<br />
  
    F[615,x] = -F[691,x]+F[616,x]<br />
  
    F[616,x] = -F[648,x]+F[617,x]<br />
  
    F[617,x] = F[618,x]+F[643,x]<br />
  
    F[618,x] = F[619,x]+F[637,x]<br />
  
    F[619,x] = F[620,x]+F[625,x]<br />
  
    F[620,x] = -F[623,x]+F[621,x]<br />
  
    F[621,x] = 1/F[22,x]*F[622,x]<br />
  
    F[622,x] = F[87,x]<br />
  
    F[623,x] = F[624,x]<br />
  
    F[624,x] = F[0,x]*F[107,x]*F[22,x]<br />
  
    F[625,x] = F[626,x]<br />
  
    F[626,x] = F[22,x]*F[58,x]*F[627,x]<br />
  
    F[627,x] = -F[635,x]+F[628,x]<br />
  
    F[628,x] = 1/F[22,x]*F[629,x]<br />
  
    F[629,x] = F[630,x]<br />
  
    F[630,x] = F[631,x]+F[633,x]<br />
  
    F[631,x] = F[196,x]+F[632,x]<br />
  
    F[632,x] = F[11,x]*F[58,x]<br />
  
    F[633,x] = F[634,x]<br />
  
    F[634,x] = F[0,x]*F[16,x]*F[22,x]*F[252,x]<br />
  
    F[635,x] = F[636,x]<br />
  
    F[636,x] = F[0,x]*F[107,x]*F[252,x]<br />
  
    F[637,x] = F[638,x]<br />
  
    F[638,x] = F[22,x]*F[639,x]<br />
  
    F[639,x] = F[640,x]+F[641,x]<br />
  
    F[640,x] = F[131,x]*F[72,x]<br />
  
    F[641,x] = F[642,x]<br />
  
    F[642,x] = F[277,x]*F[58,x]*F[84,x]<br />
  
    F[643,x] = F[644,x]<br />
  
    F[644,x] = F[645,x]+F[646,x]<br />
  
    F[645,x] = F[0,x]*F[253,x]<br />
  
    F[646,x] = F[647,x]<br />
  
    F[647,x] = F[277,x]*F[5,x]*F[58,x]<br />
  
    F[648,x] = F[649,x]<br />
  
    F[649,x] = F[650,x]+F[658,x]<br />
  
    F[650,x] = F[651,x]+F[657,x]<br />
  
    F[651,x] = F[0,x]*F[652,x]<br />
  
    F[652,x] = F[653,x]+F[654,x]<br />
  
    F[653,x] = F[22,x]*F[36,x]<br />
  
    F[654,x] = F[655,x]<br />
  
    F[655,x] = F[22,x]*F[656,x]<br />
  
    F[656,x] = F[143,x]+F[234,x]<br />
  
    F[657,x] = F[124,x]<br />
  
    F[658,x] = -F[687,x]+F[659,x]<br />
  
    F[659,x] = F[660,x]<br />
  
    F[660,x] = -F[674,x]+F[661,x]<br />
  
    F[661,x] = 1/F[22,x]*F[662,x]<br />
  
    F[662,x] = F[663,x]<br />
  
    F[663,x] = -F[666,x]+F[664,x]<br />
  
    F[664,x] = F[665,x]<br />
  
    F[665,x] = F[22,x]*F[617,x]<br />
  
    F[666,x] = F[667,x]<br />
  
    F[667,x] = F[22,x]*F[668,x]<br />
  
    F[668,x] = F[669,x]+F[671,x]<br />
  
    F[669,x] = F[594,x]+F[670,x]<br />
  
    F[670,x] = F[134,x]<br />
  
    F[671,x] = F[672,x]<br />
  
    F[672,x] = F[22,x]*F[673,x]<br />
  
    F[673,x] = F[136,x]+F[632,x]<br />
  
    F[674,x] = -F[677,x]+F[675,x]<br />
  
    F[675,x] = 1/F[22,x]*F[676,x]<br />
  
    F[676,x] = F[663,x]<br />
  
    F[677,x] = F[678,x]<br />
  
    F[678,x] = F[679,x]+F[683,x]<br />
  
    F[679,x] = F[22,x]*F[680,x]<br />
  
    F[680,x] = F[142,x]+F[681,x]<br />
  
    F[681,x] = F[682,x]<br />
  
    F[682,x] = F[11,x]*F[58,x]*F[59,x]<br />
  
    F[683,x] = F[684,x]+F[685,x]<br />
  
    F[684,x] = F[0,x]*F[261,x]<br />
  
    F[685,x] = F[686,x]<br />
  
    F[686,x] = F[11,x]*F[247,x]*F[58,x]<br />
  
    F[687,x] = F[688,x]+F[689,x]<br />
  
    F[688,x] = F[0,x]*F[654,x]<br />
  
    F[689,x] = F[690,x]<br />
  
    F[690,x] = F[11,x]*F[126,x]*F[58,x]<br />
  
    F[691,x] = -F[694,x]+F[692,x]<br />
  
    F[692,x] = F[132,x]+F[693,x]<br />
  
    F[693,x] = F[620,x]+F[69,x]<br />
  
    F[694,x] = F[650,x]<br />
  
    F[695,x] = F[696,x]<br />
  
    F[696,x] = 1/F[22,x]/F[58,x]*F[697,x]<br />
  
    F[697,x] = F[658,x]<br />
  
    F[698,x] = F[10,x]*F[58,x]<br />
  
    F[699,x] = F[700,x]<br />
  
    F[700,x] = F[194,x]+F[543,x]<br />
  
  System of equations in latex syntax:<br />
  
    F_{0}\! \left(x \right) = F_{1}\! \left(x \right)+F_{2}\! \left(x \right)<br />
  
    F_{1}\! \left(x \right) = 1<br />
  
    F_{2}\! \left(x \right) = F_{3}\! \left(x \right)<br />
  
    F_{3}\! \left(x \right) = F_{22}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{4}\! \left(x \right) = F_{0}\! \left(x \right)+F_{5}\! \left(x \right)<br />
  
    F_{5}\! \left(x \right) = F_{6}\! \left(x \right)+F_{7}\! \left(x \right)<br />
  
    F_{6}\! \left(x \right) = x^{2} F_{6} \left(x \right)^{2}+4 x^{2} F_{6}\! \left(x \right)+4 x F_{6} \left(x \right)^{2}+4 x^{2}-5 x F_{6}\! \left(x \right)-F_{6} \left(x \right)^{2}-x +2 F_{6}\! \left(x \right)<br />
  
    F_{7}\! \left(x \right) = F_{8}\! \left(x \right)<br />
  
    F_{8}\! \left(x \right) = F_{22}\! \left(x \right) F_{9}\! \left(x \right)<br />
  
    F_{9}\! \left(x \right) = F_{10}\! \left(x \right)+F_{589}\! \left(x \right)<br />
  
    F_{10}\! \left(x \right) = F_{11}\! \left(x \right)+F_{66}\! \left(x \right)<br />
  
    F_{11}\! \left(x \right) = F_{12}\! \left(x \right)+F_{6}\! \left(x \right)<br />
  
    F_{12}\! \left(x \right) = F_{13}\! \left(x \right)<br />
  
    F_{13}\! \left(x \right) = F_{14}\! \left(x \right) F_{22}\! \left(x \right)<br />
  
    F_{14}\! \left(x \right) = F_{15}\! \left(x \right)+F_{27}\! \left(x \right)<br />
  
    F_{15}\! \left(x \right) = F_{16}\! \left(x \right) F_{22}\! \left(x \right)<br />
  
    F_{16}\! \left(x \right) = \frac{F_{17}\! \left(x \right)}{F_{585}\! \left(x \right)}<br />
  
    F_{17}\! \left(x \right) = -F_{23}\! \left(x \right)+F_{18}\! \left(x \right)<br />
  
    F_{18}\! \left(x \right) = F_{19}\! \left(x \right)<br />
  
    F_{19}\! \left(x \right) = F_{20}\! \left(x \right) F_{22}\! \left(x \right)<br />
  
    F_{20}\! \left(x \right) = \frac{F_{21}\! \left(x \right)}{F_{22}\! \left(x \right)}<br />
  
    F_{21}\! \left(x \right) = F_{10}\! \left(x \right)<br />
  
    F_{22}\! \left(x \right) = x<br />
  
    F_{23}\! \left(x \right) = F_{24}\! \left(x \right)<br />
  
    F_{24}\! \left(x \right) = F_{22}\! \left(x \right) F_{25}\! \left(x \right)<br />
  
    F_{25}\! \left(x \right) = F_{26}\! \left(x \right)+F_{579}\! \left(x \right)<br />
  
    F_{26}\! \left(x \right) = F_{27}\! \left(x \right)+F_{560}\! \left(x \right)<br />
  
    F_{27}\! \left(x \right) = F_{28}\! \left(x \right)+F_{558}\! \left(x \right)<br />
  
    F_{28}\! \left(x \right) = F_{29}\! \left(x \right)+F_{30}\! \left(x \right)<br />
  
    F_{29}\! \left(x \right) = F_{12}\! \left(x \right)+F_{2}\! \left(x \right)<br />
  
    F_{30}\! \left(x \right) = F_{31}\! \left(x \right)<br />
  
    F_{31}\! \left(x \right) = F_{22}\! \left(x \right) F_{32}\! \left(x \right)<br />
  
    F_{32}\! \left(x \right) = F_{33}\! \left(x \right)+F_{557}\! \left(x \right)<br />
  
    F_{33}\! \left(x \right) = F_{34}\! \left(x \right)+F_{37}\! \left(x \right)<br />
  
    F_{34}\! \left(x \right) = F_{35}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{35}\! \left(x \right) = -F_{36}\! \left(x \right)+F_{16}\! \left(x \right)<br />
  
    F_{36}\! \left(x \right) = x^{2} F_{36} \left(x \right)^{2}+2 x^{2} F_{36}\! \left(x \right)+4 x F_{36} \left(x \right)^{2}+x^{2}-13 x F_{36}\! \left(x \right)-F_{36} \left(x \right)^{2}+8 x +4 F_{36}\! \left(x \right)-2<br />
  
    F_{37}\! \left(x \right) = F_{0}\! \left(x \right) F_{38}\! \left(x \right)<br />
  
    F_{38}\! \left(x \right) = F_{39}\! \left(x \right)<br />
  
    F_{39}\! \left(x \right) = F_{22}\! \left(x \right) F_{40}\! \left(x \right)<br />
  
    F_{40}\! \left(x \right) = F_{41}\! \left(x \right)<br />
  
    F_{41}\! \left(x \right) = -F_{235}\! \left(x \right)+F_{42}\! \left(x \right)<br />
  
    F_{42}\! \left(x \right) = \frac{F_{43}\! \left(x \right)}{F_{22}\! \left(x \right)}<br />
  
    F_{43}\! \left(x \right) = F_{44}\! \left(x \right)<br />
  
    F_{44}\! \left(x \right) = F_{45}\! \left(x \right)<br />
  
    F_{45}\! \left(x \right) = F_{22}\! \left(x \right) F_{46}\! \left(x \right)<br />
  
    F_{46}\! \left(x \right) = F_{172}\! \left(x \right)+F_{47}\! \left(x \right)<br />
  
    F_{47}\! \left(x \right) = F_{48}\! \left(x \right)+F_{49}\! \left(x \right)<br />
  
    F_{48}\! \left(x \right) = F_{44}\! \left(x \right)+F_{6}\! \left(x \right)<br />
  
    F_{49}\! \left(x \right) = F_{50}\! \left(x \right)<br />
  
    F_{50}\! \left(x \right) = F_{22}\! \left(x \right) F_{48}\! \left(x \right) F_{51}\! \left(x \right)<br />
  
    F_{51}\! \left(x \right) = F_{52}\! \left(x \right)+F_{61}\! \left(x \right)<br />
  
    F_{52}\! \left(x \right) = F_{53}\! \left(x \right)+F_{56}\! \left(x \right)<br />
  
    F_{53}\! \left(x \right) = F_{1}\! \left(x \right)+F_{54}\! \left(x \right)<br />
  
    F_{54}\! \left(x \right) = F_{55}\! \left(x \right)<br />
  
    F_{55}\! \left(x \right) = F_{22}\! \left(x \right) F_{53}\! \left(x \right)<br />
  
    F_{56}\! \left(x \right) = F_{57}\! \left(x \right)<br />
  
    F_{57}\! \left(x \right) = F_{22}\! \left(x \right) F_{52}\! \left(x \right) F_{53}\! \left(x \right) F_{58}\! \left(x \right)<br />
  
    F_{58}\! \left(x \right) = F_{1}\! \left(x \right)+F_{59}\! \left(x \right)<br />
  
    F_{59}\! \left(x \right) = F_{60}\! \left(x \right)<br />
  
    F_{60}\! \left(x \right) = F_{22}\! \left(x \right) F_{52}\! \left(x \right)<br />
  
    F_{61}\! \left(x \right) = \frac{F_{62}\! \left(x \right)}{F_{11}\! \left(x \right)}<br />
  
    F_{62}\! \left(x \right) = F_{63}\! \left(x \right)<br />
  
    F_{63}\! \left(x \right) = -F_{152}\! \left(x \right)+F_{64}\! \left(x \right)<br />
  
    F_{64}\! \left(x \right) = \frac{F_{65}\! \left(x \right)}{F_{22}\! \left(x \right)}<br />
  
    F_{65}\! \left(x \right) = F_{66}\! \left(x \right)<br />
  
    F_{66}\! \left(x \right) = F_{67}\! \left(x \right)<br />
  
    F_{67}\! \left(x \right) = F_{22}\! \left(x \right) F_{68}\! \left(x \right)<br />
  
    F_{68}\! \left(x \right) = F_{132}\! \left(x \right)+F_{69}\! \left(x \right)<br />
  
    F_{69}\! \left(x \right) = F_{123}\! \left(x \right)+F_{70}\! \left(x \right)<br />
  
    F_{70}\! \left(x \right) = F_{71}\! \left(x \right)<br />
  
    F_{71}\! \left(x \right) = F_{22}\! \left(x \right) F_{58}\! \left(x \right) F_{72}\! \left(x \right)<br />
  
    F_{72}\! \left(x \right) = F_{73}\! \left(x \right)+F_{77}\! \left(x \right)<br />
  
    F_{73}\! \left(x \right) = F_{74}\! \left(x \right)+F_{76}\! \left(x \right)<br />
  
    F_{74}\! \left(x \right) = \frac{F_{75}\! \left(x \right)}{F_{22}\! \left(x \right)}<br />
  
    F_{75}\! \left(x \right) = F_{5}\! \left(x \right)<br />
  
    F_{76}\! \left(x \right) = F_{0}\! \left(x \right) F_{6}\! \left(x \right)<br />
  
    F_{77}\! \left(x \right) = F_{104}\! \left(x \right)+F_{78}\! \left(x \right)<br />
  
    F_{78}\! \left(x \right) = F_{79}\! \left(x \right)<br />
  
    F_{79}\! \left(x \right) = F_{22}\! \left(x \right) F_{80}\! \left(x \right)<br />
  
    F_{80}\! \left(x \right) = F_{81}\! \left(x \right)+F_{82}\! \left(x \right)<br />
  
    F_{81}\! \left(x \right) = F_{51}\! \left(x \right) F_{74}\! \left(x \right)<br />
  
    F_{82}\! \left(x \right) = F_{83}\! \left(x \right)<br />
  
    F_{83}\! \left(x \right) = F_{61}\! \left(x \right) F_{84}\! \left(x \right)<br />
  
    F_{84}\! \left(x \right) = -F_{90}\! \left(x \right)+F_{85}\! \left(x \right)<br />
  
    F_{85}\! \left(x \right) = \frac{F_{86}\! \left(x \right)}{F_{22}\! \left(x \right)}<br />
  
    F_{86}\! \left(x \right) = F_{87}\! \left(x \right)<br />
  
    F_{87}\! \left(x \right) = F_{11}\! \left(x \right)+F_{88}\! \left(x \right)<br />
  
    F_{88}\! \left(x \right) = F_{89}\! \left(x \right)<br />
  
    F_{89}\! \left(x \right) = F_{0}\! \left(x \right) F_{22}\! \left(x \right) F_{6}\! \left(x \right)<br />
  
    F_{90}\! \left(x \right) = F_{91}\! \left(x \right)<br />
  
    F_{91}\! \left(x \right) = F_{0}\! \left(x \right) F_{22}\! \left(x \right) F_{92}\! \left(x \right)<br />
  
    F_{92}\! \left(x \right) = \frac{F_{93}\! \left(x \right)}{F_{0}\! \left(x \right)}<br />
  
    F_{93}\! \left(x \right) = -F_{99}\! \left(x \right)+F_{94}\! \left(x \right)<br />
  
    F_{94}\! \left(x \right) = \frac{F_{95}\! \left(x \right)}{F_{22}\! \left(x \right)}<br />
  
    F_{95}\! \left(x \right) = F_{96}\! \left(x \right)<br />
  
    F_{96}\! \left(x \right) = -F_{0}\! \left(x \right)+F_{97}\! \left(x \right)<br />
  
    F_{97}\! \left(x \right) = \frac{F_{98}\! \left(x \right)}{F_{22}\! \left(x \right)}<br />
  
    F_{98}\! \left(x \right) = F_{2}\! \left(x \right)<br />
  
    F_{99}\! \left(x \right) = -F_{103}\! \left(x \right)+F_{100}\! \left(x \right)<br />
  
    F_{100}\! \left(x \right) = \frac{F_{101}\! \left(x \right)}{F_{22}\! \left(x \right)}<br />
  
    F_{101}\! \left(x \right) = F_{102}\! \left(x \right)<br />
  
    F_{102}\! \left(x \right) = -F_{6}\! \left(x \right)+F_{96}\! \left(x \right)<br />
  
    F_{103}\! \left(x \right) = F_{2}\! \left(x \right) F_{92}\! \left(x \right)<br />
  
    F_{104}\! \left(x \right) = F_{0}\! \left(x \right) F_{105}\! \left(x \right)<br />
  
    F_{105}\! \left(x \right) = -F_{6}\! \left(x \right)+F_{106}\! \left(x \right)<br />
  
    F_{106}\! \left(x \right) = -F_{58}\! \left(x \right)+F_{107}\! \left(x \right)<br />
  
    F_{107}\! \left(x \right) = \frac{F_{108}\! \left(x \right)}{F_{118}\! \left(x \right)}<br />
  
    F_{108}\! \left(x \right) = -F_{111}\! \left(x \right)+F_{109}\! \left(x \right)<br />
  
    F_{109}\! \left(x \right) = \frac{F_{110}\! \left(x \right)}{F_{22}\! \left(x \right)}<br />
  
    F_{110}\! \left(x \right) = F_{96}\! \left(x \right)<br />
  
    F_{111}\! \left(x \right) = -F_{114}\! \left(x \right)+F_{112}\! \left(x \right)<br />
  
    F_{112}\! \left(x \right) = \frac{F_{113}\! \left(x \right)}{F_{22}\! \left(x \right)}<br />
  
    F_{113}\! \left(x \right) = F_{102}\! \left(x \right)<br />
  
    F_{114}\! \left(x \right) = F_{107}\! \left(x \right) F_{115}\! \left(x \right)<br />
  
    F_{115}\! \left(x \right) = F_{116}\! \left(x \right)<br />
  
    F_{116}\! \left(x \right) = F_{117}\! \left(x \right) F_{22}\! \left(x \right)<br />
  
    F_{117}\! \left(x \right) = F_{118}\! \left(x \right)+F_{119}\! \left(x \right)<br />
  
    F_{118}\! \left(x \right) = F_{1}\! \left(x \right)+F_{115}\! \left(x \right)<br />
  
    F_{119}\! \left(x \right) = F_{120}\! \left(x \right)+F_{54}\! \left(x \right)<br />
  
    F_{120}\! \left(x \right) = F_{121}\! \left(x \right)<br />
  
    F_{121}\! \left(x \right) = F_{122}\! \left(x \right) F_{22}\! \left(x \right)<br />
  
    F_{122}\! \left(x \right) = F_{115}\! \left(x \right)+F_{120}\! \left(x \right)<br />
  
    F_{123}\! \left(x \right) = F_{124}\! \left(x \right)<br />
  
    F_{124}\! \left(x \right) = F_{11}\! \left(x \right) F_{125}\! \left(x \right) F_{58}\! \left(x \right)<br />
  
    F_{125}\! \left(x \right) = F_{126}\! \left(x \right)+F_{22}\! \left(x \right)<br />
  
    F_{126}\! \left(x \right) = F_{127}\! \left(x \right)<br />
  
    F_{127}\! \left(x \right) = F_{128}\! \left(x \right) F_{22}\! \left(x \right)<br />
  
    F_{128}\! \left(x \right) = F_{129}\! \left(x \right)+F_{59}\! \left(x \right)<br />
  
    F_{129}\! \left(x \right) = F_{130}\! \left(x \right)<br />
  
    F_{130}\! \left(x \right) = F_{58} \left(x \right)^{2} F_{131}\! \left(x \right) F_{22}\! \left(x \right)<br />
  
    F_{131}\! \left(x \right) = F_{129}\! \left(x \right)+F_{58}\! \left(x \right)<br />
  
    F_{132}\! \left(x \right) = F_{133}\! \left(x \right)<br />
  
    F_{133}\! \left(x \right) = F_{134}\! \left(x \right)+F_{138}\! \left(x \right)<br />
  
    F_{134}\! \left(x \right) = F_{135}\! \left(x \right) F_{22}\! \left(x \right)<br />
  
    F_{135}\! \left(x \right) = F_{136}\! \left(x \right)+F_{137}\! \left(x \right)<br />
  
    F_{136}\! \left(x \right) = F_{0}\! \left(x \right) F_{36}\! \left(x \right)<br />
  
    F_{137}\! \left(x \right) = F_{5}\! \left(x \right) F_{58}\! \left(x \right)<br />
  
    F_{138}\! \left(x \right) = F_{139}\! \left(x \right)<br />
  
    F_{139}\! \left(x \right) = F_{140}\! \left(x \right) F_{22}\! \left(x \right)<br />
  
    F_{140}\! \left(x \right) = F_{141}\! \left(x \right)+F_{146}\! \left(x \right)<br />
  
    F_{141}\! \left(x \right) = F_{142}\! \left(x \right)+F_{144}\! \left(x \right)<br />
  
    F_{142}\! \left(x \right) = F_{0}\! \left(x \right) F_{143}\! \left(x \right)<br />
  
    F_{143}\! \left(x \right) = F_{105}\! \left(x \right)+F_{59}\! \left(x \right)<br />
  
    F_{144}\! \left(x \right) = F_{145}\! \left(x \right)<br />
  
    F_{145}\! \left(x \right) = F_{5}\! \left(x \right) F_{58}\! \left(x \right) F_{59}\! \left(x \right)<br />
  
    F_{146}\! \left(x \right) = F_{147}\! \left(x \right)<br />
  
    F_{147}\! \left(x \right) = F_{148}\! \left(x \right) F_{22}\! \left(x \right)<br />
  
    F_{148}\! \left(x \right) = F_{149}\! \left(x \right)+F_{151}\! \left(x \right)<br />
  
    F_{149}\! \left(x \right) = F_{131}\! \left(x \right) F_{150}\! \left(x \right)<br />
  
    F_{150}\! \left(x \right) = F_{135}\! \left(x \right)+F_{141}\! \left(x \right)<br />
  
    F_{151}\! \left(x \right) = F_{146}\! \left(x \right) F_{58}\! \left(x \right)<br />
  
    F_{152}\! \left(x \right) = F_{153}\! \left(x \right)+F_{154}\! \left(x \right)<br />
  
    F_{153}\! \left(x \right) = F_{5}\! \left(x \right) F_{52}\! \left(x \right)<br />
  
    F_{154}\! \left(x \right) = F_{155}\! \left(x \right)<br />
  
    F_{155}\! \left(x \right) = F_{156}\! \left(x \right) F_{22}\! \left(x \right)<br />
  
    F_{156}\! \left(x \right) = F_{157}\! \left(x \right)+F_{167}\! \left(x \right)<br />
  
    F_{157}\! \left(x \right) = F_{158}\! \left(x \right) F_{53}\! \left(x \right)<br />
  
    F_{158}\! \left(x \right) = F_{153}\! \left(x \right)+F_{159}\! \left(x \right)<br />
  
    F_{159}\! \left(x \right) = -F_{162}\! \left(x \right)+F_{160}\! \left(x \right)<br />
  
    F_{160}\! \left(x \right) = \frac{F_{161}\! \left(x \right)}{F_{22}\! \left(x \right)}<br />
  
    F_{161}\! \left(x \right) = F_{5}\! \left(x \right)<br />
  
    F_{162}\! \left(x \right) = -F_{165}\! \left(x \right)+F_{163}\! \left(x \right)<br />
  
    F_{163}\! \left(x \right) = \frac{F_{164}\! \left(x \right)}{F_{22}\! \left(x \right)}<br />
  
    F_{164}\! \left(x \right) = F_{7}\! \left(x \right)<br />
  
    F_{165}\! \left(x \right) = F_{166}\! \left(x \right) F_{2}\! \left(x \right)<br />
  
    F_{166}\! \left(x \right) = \frac{F_{159}\! \left(x \right)}{F_{0}\! \left(x \right)}<br />
  
    F_{167}\! \left(x \right) = F_{168}\! \left(x \right)<br />
  
    F_{168}\! \left(x \right) = F_{169}\! \left(x \right) F_{22}\! \left(x \right) F_{53}\! \left(x \right)<br />
  
    F_{169}\! \left(x \right) = F_{170}\! \left(x \right)+F_{171}\! \left(x \right)<br />
  
    F_{170}\! \left(x \right) = F_{156}\! \left(x \right) F_{58}\! \left(x \right)<br />
  
    F_{171}\! \left(x \right) = F_{129}\! \left(x \right) F_{158}\! \left(x \right)<br />
  
    F_{172}\! \left(x \right) = -F_{554}\! \left(x \right)+F_{173}\! \left(x \right)<br />
  
    F_{173}\! \left(x \right) = F_{174}\! \left(x \right)+F_{553}\! \left(x \right)<br />
  
    F_{174}\! \left(x \right) = F_{175}\! \left(x \right)+F_{545}\! \left(x \right)<br />
  
    F_{175}\! \left(x \right) = F_{176}\! \left(x \right)+F_{48}\! \left(x \right)<br />
  
    F_{176}\! \left(x \right) = F_{177}\! \left(x \right)<br />
  
    F_{177}\! \left(x \right) = F_{178}\! \left(x \right) F_{22}\! \left(x \right)<br />
  
    F_{178}\! \left(x \right) = F_{179}\! \left(x \right)<br />
  
    F_{179}\! \left(x \right) = F_{180}\! \left(x \right) F_{22}\! \left(x \right)<br />
  
    F_{180}\! \left(x \right) = \frac{F_{181}\! \left(x \right)}{F_{22}\! \left(x \right)}<br />
  
    F_{181}\! \left(x \right) = F_{182}\! \left(x \right)<br />
  
    F_{182}\! \left(x \right) = -F_{350}\! \left(x \right)+F_{183}\! \left(x \right)<br />
  
    F_{183}\! \left(x \right) = \frac{F_{184}\! \left(x \right)}{F_{0}\! \left(x \right) F_{22}\! \left(x \right)}<br />
  
    F_{184}\! \left(x \right) = F_{185}\! \left(x \right)<br />
  
    F_{185}\! \left(x \right) = F_{11}\! \left(x \right)+F_{186}\! \left(x \right)<br />
  
    F_{186}\! \left(x \right) = F_{187}\! \left(x \right)<br />
  
    F_{187}\! \left(x \right) = F_{188}\! \left(x \right) F_{22}\! \left(x \right)<br />
  
    F_{188}\! \left(x \right) = F_{189}\! \left(x \right)+F_{192}\! \left(x \right)<br />
  
    F_{189}\! \left(x \right) = F_{185}\! \left(x \right)+F_{190}\! \left(x \right)<br />
  
    F_{190}\! \left(x \right) = F_{191}\! \left(x \right)<br />
  
    F_{191}\! \left(x \right) = F_{185}\! \left(x \right) F_{22}\! \left(x \right) F_{51}\! \left(x \right)<br />
  
    F_{192}\! \left(x \right) = F_{193}\! \left(x \right)+F_{195}\! \left(x \right)<br />
  
    F_{193}\! \left(x \right) = F_{185}\! \left(x \right)+F_{194}\! \left(x \right)<br />
  
    F_{194}\! \left(x \right) = F_{37}\! \left(x \right)<br />
  
    F_{195}\! \left(x \right) = F_{196}\! \left(x \right)+F_{543}\! \left(x \right)<br />
  
    F_{196}\! \left(x \right) = F_{197}\! \left(x \right)<br />
  
    F_{197}\! \left(x \right) = F_{198}\! \left(x \right) F_{22}\! \left(x \right)<br />
  
    F_{198}\! \left(x \right) = F_{199}\! \left(x \right)+F_{541}\! \left(x \right)<br />
  
    F_{199}\! \left(x \right) = F_{200}\! \left(x \right)+F_{204}\! \left(x \right)<br />
  
    F_{200}\! \left(x \right) = F_{201}\! \left(x \right)<br />
  
    F_{201}\! \left(x \right) = F_{11}\! \left(x \right) F_{202}\! \left(x \right)<br />
  
    F_{202}\! \left(x \right) = \frac{F_{203}\! \left(x \right)}{F_{22}\! \left(x \right)}<br />
  
    F_{203}\! \left(x \right) = F_{61}\! \left(x \right)<br />
  
    F_{204}\! \left(x \right) = F_{205}\! \left(x \right)+F_{539}\! \left(x \right)<br />
  
    F_{205}\! \left(x \right) = F_{0}\! \left(x \right) F_{206}\! \left(x \right)<br />
  
    F_{206}\! \left(x \right) = -F_{433}\! \left(x \right)+F_{207}\! \left(x \right)<br />
  
    F_{207}\! \left(x \right) = F_{208}\! \left(x \right)<br />
  
    F_{208}\! \left(x \right) = -F_{324}\! \left(x \right)+F_{209}\! \left(x \right)<br />
  
    F_{209}\! \left(x \right) = \frac{F_{210}\! \left(x \right)}{F_{22}\! \left(x \right)}<br />
  
    F_{210}\! \left(x \right) = F_{211}\! \left(x \right)<br />
  
    F_{211}\! \left(x \right) = F_{212}\! \left(x \right)+F_{222}\! \left(x \right)<br />
  
    F_{212}\! \left(x \right) = F_{213}\! \left(x \right)+F_{221}\! \left(x \right)<br />
  
    F_{213}\! \left(x \right) = F_{214}\! \left(x \right)+F_{215}\! \left(x \right)<br />
  
    F_{214}\! \left(x \right) = -F_{36}\! \left(x \right)+F_{16}\! \left(x \right)<br />
  
    F_{215}\! \left(x \right) = F_{216}\! \left(x \right)<br />
  
    F_{216}\! \left(x \right) = F_{217}\! \left(x \right) F_{22}\! \left(x \right)<br />
  
    F_{217}\! \left(x \right) = F_{211}\! \left(x \right)+F_{218}\! \left(x \right)<br />
  
    F_{218}\! \left(x \right) = F_{213}\! \left(x \right)+F_{219}\! \left(x \right)<br />
  
    F_{219}\! \left(x \right) = F_{220}\! \left(x \right)<br />
  
    F_{220}\! \left(x \right) = F_{213}\! \left(x \right) F_{22}\! \left(x \right) F_{51}\! \left(x \right)<br />
  
    F_{221}\! \left(x \right) = F_{38}\! \left(x \right)<br />
  
    F_{222}\! \left(x \right) = -F_{320}\! \left(x \right)+F_{223}\! \left(x \right)<br />
  
    F_{223}\! \left(x \right) = F_{224}\! \left(x \right)+F_{315}\! \left(x \right)<br />
  
    F_{224}\! \left(x \right) = -F_{309}\! \left(x \right)+F_{225}\! \left(x \right)<br />
  
    F_{225}\! \left(x \right) = F_{226}\! \left(x \right)<br />
  
    F_{226}\! \left(x \right) = F_{22}\! \left(x \right) F_{227}\! \left(x \right)<br />
  
    F_{227}\! \left(x \right) = F_{228}\! \left(x \right)+F_{307}\! \left(x \right)<br />
  
    F_{228}\! \left(x \right) = \frac{F_{229}\! \left(x \right)}{F_{22}\! \left(x \right) F_{58}\! \left(x \right)}<br />
  
    F_{229}\! \left(x \right) = F_{230}\! \left(x \right)<br />
  
    F_{230}\! \left(x \right) = -F_{289}\! \left(x \right)+F_{231}\! \left(x \right)<br />
  
    F_{231}\! \left(x \right) = F_{232}\! \left(x \right)+F_{270}\! \left(x \right)<br />
  
    F_{232}\! \left(x \right) = F_{233}\! \left(x \right)+F_{253}\! \left(x \right)<br />
  
    F_{233}\! \left(x \right) = F_{107}\! \left(x \right)+F_{234}\! \left(x \right)<br />
  
    F_{234}\! \left(x \right) = F_{235}\! \left(x \right)<br />
  
    F_{235}\! \left(x \right) = F_{236}\! \left(x \right)<br />
  
    F_{236}\! \left(x \right) = F_{22}\! \left(x \right) F_{237}\! \left(x \right) F_{58}\! \left(x \right)<br />
  
    F_{237}\! \left(x \right) = F_{238}\! \left(x \right)+F_{239}\! \left(x \right)<br />
  
    F_{238}\! \left(x \right) = F_{107}\! \left(x \right) F_{131}\! \left(x \right)<br />
  
    F_{239}\! \left(x \right) = F_{240}\! \left(x \right)+F_{241}\! \left(x \right)<br />
  
    F_{240}\! \left(x \right) = -F_{131}\! \left(x \right)+F_{233}\! \left(x \right)<br />
  
    F_{241}\! \left(x \right) = F_{242}\! \left(x \right) F_{6}\! \left(x \right)<br />
  
    F_{242}\! \left(x \right) = \frac{F_{243}\! \left(x \right)}{F_{22}\! \left(x \right)}<br />
  
    F_{243}\! \left(x \right) = F_{244}\! \left(x \right)<br />
  
    F_{244}\! \left(x \right) = -F_{126}\! \left(x \right)+F_{245}\! \left(x \right)<br />
  
    F_{245}\! \left(x \right) = F_{246}\! \left(x \right)+F_{247}\! \left(x \right)<br />
  
    F_{246}\! \left(x \right) = F_{22}\! \left(x \right) F_{59}\! \left(x \right)<br />
  
    F_{247}\! \left(x \right) = F_{248}\! \left(x \right)<br />
  
    F_{248}\! \left(x \right) = F_{22}\! \left(x \right) F_{249}\! \left(x \right) F_{58}\! \left(x \right)<br />
  
    F_{249}\! \left(x \right) = F_{250}\! \left(x \right)+F_{251}\! \left(x \right)<br />
  
    F_{250}\! \left(x \right) = F_{125}\! \left(x \right) F_{131}\! \left(x \right)<br />
  
    F_{251}\! \left(x \right) = F_{252}\! \left(x \right) F_{58}\! \left(x \right)<br />
  
    F_{252}\! \left(x \right) = F_{125}\! \left(x \right)+F_{244}\! \left(x \right)<br />
  
    F_{253}\! \left(x \right) = -F_{258}\! \left(x \right)+F_{254}\! \left(x \right)<br />
  
    F_{254}\! \left(x \right) = \frac{F_{255}\! \left(x \right)}{F_{22}\! \left(x \right)}<br />
  
    F_{255}\! \left(x \right) = F_{256}\! \left(x \right)<br />
  
    F_{256}\! \left(x \right) = F_{22}\! \left(x \right) F_{257}\! \left(x \right)<br />
  
    F_{257}\! \left(x \right) = F_{258}\! \left(x \right)+F_{266}\! \left(x \right)<br />
  
    F_{258}\! \left(x \right) = F_{233}\! \left(x \right)+F_{259}\! \left(x \right)<br />
  
    F_{259}\! \left(x \right) = F_{260}\! \left(x \right)+F_{261}\! \left(x \right)<br />
  
    F_{260}\! \left(x \right) = F_{107}\! \left(x \right) F_{22}\! \left(x \right)<br />
  
    F_{261}\! \left(x \right) = F_{262}\! \left(x \right)<br />
  
    F_{262}\! \left(x \right) = F_{22}\! \left(x \right) F_{263}\! \left(x \right)<br />
  
    F_{263}\! \left(x \right) = F_{264}\! \left(x \right)+F_{265}\! \left(x \right)<br />
  
    F_{264}\! \left(x \right) = F_{125}\! \left(x \right) F_{237}\! \left(x \right)<br />
  
    F_{265}\! \left(x \right) = F_{107}\! \left(x \right) F_{252}\! \left(x \right) F_{58}\! \left(x \right)<br />
  
    F_{266}\! \left(x \right) = F_{267}\! \left(x \right)<br />
  
    F_{267}\! \left(x \right) = F_{260}\! \left(x \right)+F_{268}\! \left(x \right)<br />
  
    F_{268}\! \left(x \right) = F_{269}\! \left(x \right)<br />
  
    F_{269}\! \left(x \right) = F_{107}\! \left(x \right) F_{22}\! \left(x \right) F_{249}\! \left(x \right)<br />
  
    F_{270}\! \left(x \right) = F_{271}\! \left(x \right)<br />
  
    F_{271}\! \left(x \right) = F_{22}\! \left(x \right) F_{272}\! \left(x \right)<br />
  
    F_{272}\! \left(x \right) = F_{273}\! \left(x \right)+F_{276}\! \left(x \right)<br />
  
    F_{273}\! \left(x \right) = F_{131}\! \left(x \right) F_{274}\! \left(x \right)<br />
  
    F_{274}\! \left(x \right) = \frac{F_{275}\! \left(x \right)}{F_{22}\! \left(x \right)}<br />
  
    F_{275}\! \left(x \right) = F_{35}\! \left(x \right)<br />
  
    F_{276}\! \left(x \right) = F_{16}\! \left(x \right) F_{277}\! \left(x \right) F_{58}\! \left(x \right)<br />
  
    F_{277}\! \left(x \right) = \frac{F_{278}\! \left(x \right)}{F_{4}\! \left(x \right)}<br />
  
    F_{278}\! \left(x \right) = -F_{283}\! \left(x \right)+F_{279}\! \left(x \right)<br />
  
    F_{279}\! \left(x \right) = \frac{F_{280}\! \left(x \right)}{F_{22}\! \left(x \right)}<br />
  
    F_{280}\! \left(x \right) = F_{281}\! \left(x \right)<br />
  
    F_{281}\! \left(x \right) = F_{22}\! \left(x \right) F_{282}\! \left(x \right)<br />
  
    F_{282}\! \left(x \right) = F_{283}\! \left(x \right)+F_{287}\! \left(x \right)<br />
  
    F_{283}\! \left(x \right) = F_{284}\! \left(x \right)+F_{285}\! \left(x \right)<br />
  
    F_{284}\! \left(x \right) = F_{131}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{285}\! \left(x \right) = F_{252}\! \left(x \right) F_{286}\! \left(x \right)<br />
  
    F_{286}\! \left(x \right) = F_{0}\! \left(x \right)+F_{11}\! \left(x \right)<br />
  
    F_{287}\! \left(x \right) = F_{288}\! \left(x \right)<br />
  
    F_{288}\! \left(x \right) = F_{252}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{289}\! \left(x \right) = F_{290}\! \left(x \right)+F_{293}\! \left(x \right)<br />
  
    F_{290}\! \left(x \right) = F_{107}\! \left(x \right)+F_{291}\! \left(x \right)<br />
  
    F_{291}\! \left(x \right) = F_{292}\! \left(x \right)<br />
  
    F_{292}\! \left(x \right) = F_{22}\! \left(x \right) F_{274}\! \left(x \right) F_{58}\! \left(x \right)<br />
  
    F_{293}\! \left(x \right) = -F_{301}\! \left(x \right)+F_{294}\! \left(x \right)<br />
  
    F_{294}\! \left(x \right) = \frac{F_{295}\! \left(x \right)}{F_{22}\! \left(x \right)}<br />
  
    F_{295}\! \left(x \right) = F_{296}\! \left(x \right)<br />
  
    F_{296}\! \left(x \right) = F_{214}\! \left(x \right)+F_{297}\! \left(x \right)<br />
  
    F_{297}\! \left(x \right) = F_{298}\! \left(x \right)<br />
  
    F_{298}\! \left(x \right) = F_{22}\! \left(x \right) F_{299}\! \left(x \right)<br />
  
    F_{299}\! \left(x \right) = F_{300}\! \left(x \right)+F_{6}\! \left(x \right)<br />
  
    F_{300}\! \left(x \right) = F_{59}\! \left(x \right) F_{6}\! \left(x \right)<br />
  
    F_{301}\! \left(x \right) = F_{290}\! \left(x \right)+F_{302}\! \left(x \right)<br />
  
    F_{302}\! \left(x \right) = F_{303}\! \left(x \right)<br />
  
    F_{303}\! \left(x \right) = F_{22}\! \left(x \right) F_{304}\! \left(x \right)<br />
  
    F_{304}\! \left(x \right) = F_{107}\! \left(x \right)+F_{305}\! \left(x \right)<br />
  
    F_{305}\! \left(x \right) = F_{306}\! \left(x \right)<br />
  
    F_{306}\! \left(x \right) = F_{58} \left(x \right)^{2} F_{6}\! \left(x \right)<br />
  
    F_{307}\! \left(x \right) = F_{308}\! \left(x \right)<br />
  
    F_{308}\! \left(x \right) = F_{252}\! \left(x \right) F_{304}\! \left(x \right)<br />
  
    F_{309}\! \left(x \right) = F_{310}\! \left(x \right)+F_{311}\! \left(x \right)<br />
  
    F_{310}\! \left(x \right) = F_{214}\! \left(x \right) F_{58}\! \left(x \right)<br />
  
    F_{311}\! \left(x \right) = F_{312}\! \left(x \right)<br />
  
    F_{312}\! \left(x \right) = F_{125}\! \left(x \right) F_{22}\! \left(x \right) F_{313}\! \left(x \right)<br />
  
    F_{313}\! \left(x \right) = F_{16}\! \left(x \right)+F_{314}\! \left(x \right)<br />
  
    F_{314}\! \left(x \right) = F_{306}\! \left(x \right)<br />
  
    F_{315}\! \left(x \right) = F_{316}\! \left(x \right)<br />
  
    F_{316}\! \left(x \right) = F_{317}\! \left(x \right)<br />
  
    F_{317}\! \left(x \right) = F_{22}\! \left(x \right) F_{318}\! \left(x \right) F_{58}\! \left(x \right) F_{6}\! \left(x \right)<br />
  
    F_{318}\! \left(x \right) = \frac{F_{319}\! \left(x \right)}{F_{22}\! \left(x \right) F_{58}\! \left(x \right)}<br />
  
    F_{319}\! \left(x \right) = F_{244}\! \left(x \right)<br />
  
    F_{320}\! \left(x \right) = F_{321}\! \left(x \right)<br />
  
    F_{321}\! \left(x \right) = -F_{311}\! \left(x \right)+F_{322}\! \left(x \right)<br />
  
    F_{322}\! \left(x \right) = F_{323}\! \left(x \right)<br />
  
    F_{323}\! \left(x \right) = F_{22}\! \left(x \right) F_{252}\! \left(x \right) F_{313}\! \left(x \right)<br />
  
    F_{324}\! \left(x \right) = F_{325}\! \left(x \right)+F_{329}\! \left(x \right)<br />
  
    F_{325}\! \left(x \right) = -F_{536}\! \left(x \right)+F_{326}\! \left(x \right)<br />
  
    F_{326}\! \left(x \right) = -F_{415}\! \left(x \right)+F_{327}\! \left(x \right)<br />
  
    F_{327}\! \left(x \right) = F_{328}\! \left(x \right)+F_{336}\! \left(x \right)<br />
  
    F_{328}\! \left(x \right) = -F_{329}\! \left(x \right)+F_{209}\! \left(x \right)<br />
  
    F_{329}\! \left(x \right) = F_{330}\! \left(x \right)+F_{332}\! \left(x \right)<br />
  
    F_{330}\! \left(x \right) = \frac{F_{331}\! \left(x \right)}{F_{22}\! \left(x \right)}<br />
  
    F_{331}\! \left(x \right) = F_{38}\! \left(x \right)<br />
  
    F_{332}\! \left(x \right) = F_{333}\! \left(x \right)<br />
  
    F_{333}\! \left(x \right) = F_{334}\! \left(x \right) F_{6}\! \left(x \right)<br />
  
    F_{334}\! \left(x \right) = \frac{F_{335}\! \left(x \right)}{F_{22}\! \left(x \right)}<br />
  
    F_{335}\! \left(x \right) = F_{244}\! \left(x \right)<br />
  
    F_{336}\! \left(x \right) = F_{337}\! \left(x \right)<br />
  
    F_{337}\! \left(x \right) = F_{22}\! \left(x \right) F_{338}\! \left(x \right)<br />
  
    F_{338}\! \left(x \right) = \frac{F_{339}\! \left(x \right)}{F_{22} \left(x \right)^{2}}<br />
  
    F_{339}\! \left(x \right) = F_{340}\! \left(x \right)<br />
  
    F_{340}\! \left(x \right) = -F_{412}\! \left(x \right)+F_{341}\! \left(x \right)<br />
  
    F_{341}\! \left(x \right) = -F_{408}\! \left(x \right)+F_{342}\! \left(x \right)<br />
  
    F_{342}\! \left(x \right) = F_{343}\! \left(x \right)+F_{393}\! \left(x \right)<br />
  
    F_{343}\! \left(x \right) = -F_{387}\! \left(x \right)+F_{344}\! \left(x \right)<br />
  
    F_{344}\! \left(x \right) = F_{345}\! \left(x \right)+F_{354}\! \left(x \right)<br />
  
    F_{345}\! \left(x \right) = F_{212}\! \left(x \right)+F_{346}\! \left(x \right)<br />
  
    F_{346}\! \left(x \right) = F_{347}\! \left(x \right)<br />
  
    F_{347}\! \left(x \right) = F_{22} \left(x \right)^{2} F_{348}\! \left(x \right)<br />
  
    F_{348}\! \left(x \right) = F_{330}\! \left(x \right)+F_{349}\! \left(x \right)<br />
  
    F_{349}\! \left(x \right) = F_{350}\! \left(x \right)+F_{352}\! \left(x \right)<br />
  
    F_{350}\! \left(x \right) = \frac{F_{351}\! \left(x \right)}{F_{22}\! \left(x \right)}<br />
  
    F_{351}\! \left(x \right) = F_{48}\! \left(x \right)<br />
  
    F_{352}\! \left(x \right) = F_{353}\! \left(x \right)<br />
  
    F_{353}\! \left(x \right) = F_{202}\! \left(x \right) F_{6}\! \left(x \right)<br />
  
    F_{354}\! \left(x \right) = F_{355}\! \left(x \right)+F_{356}\! \left(x \right)<br />
  
    F_{355}\! \left(x \right) = F_{218}\! \left(x \right)+F_{222}\! \left(x \right)<br />
  
    F_{356}\! \left(x \right) = F_{357}\! \left(x \right)<br />
  
    F_{357}\! \left(x \right) = F_{22} \left(x \right)^{2} F_{358}\! \left(x \right)<br />
  
    F_{358}\! \left(x \right) = F_{359}\! \left(x \right)+F_{363}\! \left(x \right)<br />
  
    F_{359}\! \left(x \right) = \frac{F_{360}\! \left(x \right)}{F_{22}\! \left(x \right)}<br />
  
    F_{360}\! \left(x \right) = F_{361}\! \left(x \right)<br />
  
    F_{361}\! \left(x \right) = -F_{362}\! \left(x \right)+F_{46}\! \left(x \right)<br />
  
    F_{362}\! \left(x \right) = F_{38}\! \left(x \right)+F_{48}\! \left(x \right)<br />
  
    F_{363}\! \left(x \right) = F_{364}\! \left(x \right)<br />
  
    F_{364}\! \left(x \right) = F_{365}\! \left(x \right) F_{58}\! \left(x \right) F_{6}\! \left(x \right)<br />
  
    F_{365}\! \left(x \right) = \frac{F_{366}\! \left(x \right)}{F_{22}\! \left(x \right) F_{53}\! \left(x \right)}<br />
  
    F_{366}\! \left(x \right) = F_{367}\! \left(x \right)<br />
  
    F_{367}\! \left(x \right) = F_{22}\! \left(x \right) F_{368}\! \left(x \right) F_{52}\! \left(x \right) F_{58}\! \left(x \right)<br />
  
    F_{368}\! \left(x \right) = \frac{F_{369}\! \left(x \right)}{F_{118}\! \left(x \right) F_{22}\! \left(x \right)}<br />
  
    F_{369}\! \left(x \right) = F_{370}\! \left(x \right)<br />
  
    F_{370}\! \left(x \right) = F_{22}\! \left(x \right) F_{371}\! \left(x \right)<br />
  
    F_{371}\! \left(x \right) = F_{372}\! \left(x \right)+F_{373}\! \left(x \right)<br />
  
    F_{372}\! \left(x \right) = F_{118}\! \left(x \right) F_{131}\! \left(x \right)<br />
  
    F_{373}\! \left(x \right) = F_{374}\! \left(x \right) F_{58}\! \left(x \right)<br />
  
    F_{374}\! \left(x \right) = F_{22}\! \left(x \right)+F_{375}\! \left(x \right)<br />
  
    F_{375}\! \left(x \right) = F_{376}\! \left(x \right)+F_{377}\! \left(x \right)+F_{386}\! \left(x \right)<br />
  
    F_{376}\! \left(x \right) = 0<br />
  
    F_{377}\! \left(x \right) = F_{22}\! \left(x \right) F_{378}\! \left(x \right)<br />
  
    F_{378}\! \left(x \right) = F_{374}\! \left(x \right)+F_{379}\! \left(x \right)<br />
  
    F_{379}\! \left(x \right) = F_{380}\! \left(x \right)+F_{383}\! \left(x \right)<br />
  
    F_{380}\! \left(x \right) = F_{381}\! \left(x \right)<br />
  
    F_{381}\! \left(x \right) = F_{22}\! \left(x \right) F_{382}\! \left(x \right)<br />
  
    F_{382}\! \left(x \right) = F_{22}\! \left(x \right)+F_{380}\! \left(x \right)<br />
  
    F_{383}\! \left(x \right) = F_{384}\! \left(x \right)<br />
  
    F_{384}\! \left(x \right) = F_{22}\! \left(x \right) F_{385}\! \left(x \right)<br />
  
    F_{385}\! \left(x \right) = F_{375}\! \left(x \right)+F_{383}\! \left(x \right)<br />
  
    F_{386}\! \left(x \right) = F_{22}\! \left(x \right) F_{54}\! \left(x \right)<br />
  
    F_{387}\! \left(x \right) = F_{218}\! \left(x \right)+F_{388}\! \left(x \right)<br />
  
    F_{388}\! \left(x \right) = F_{389}\! \left(x \right)<br />
  
    F_{389}\! \left(x \right) = F_{22}\! \left(x \right) F_{390}\! \left(x \right)<br />
  
    F_{390}\! \left(x \right) = F_{391}\! \left(x \right)+F_{47}\! \left(x \right)<br />
  
    F_{391}\! \left(x \right) = F_{392}\! \left(x \right)<br />
  
    F_{392}\! \left(x \right) = F_{129}\! \left(x \right) F_{58}\! \left(x \right) F_{6}\! \left(x \right)<br />
  
    F_{393}\! \left(x \right) = F_{394}\! \left(x \right)<br />
  
    F_{394}\! \left(x \right) = F_{22}\! \left(x \right) F_{395}\! \left(x \right)<br />
  
    F_{395}\! \left(x \right) = F_{396}\! \left(x \right)+F_{407}\! \left(x \right)<br />
  
    F_{396}\! \left(x \right) = -F_{406}\! \left(x \right)+F_{397}\! \left(x \right)<br />
  
    F_{397}\! \left(x \right) = -F_{405}\! \left(x \right)+F_{398}\! \left(x \right)<br />
  
    F_{398}\! \left(x \right) = \frac{F_{399}\! \left(x \right)}{F_{22}\! \left(x \right)}<br />
  
    F_{399}\! \left(x \right) = F_{400}\! \left(x \right)<br />
  
    F_{400}\! \left(x \right) = F_{22}\! \left(x \right) F_{401}\! \left(x \right)<br />
  
    F_{401}\! \left(x \right) = F_{402}\! \left(x \right)+F_{403}\! \left(x \right)<br />
  
    F_{402}\! \left(x \right) = F_{291}\! \left(x \right)+F_{293}\! \left(x \right)<br />
  
    F_{403}\! \left(x \right) = F_{404}\! \left(x \right)<br />
  
    F_{404}\! \left(x \right) = F_{58} \left(x \right)^{2} F_{22}\! \left(x \right) F_{6}\! \left(x \right)<br />
  
    F_{405}\! \left(x \right) = F_{16}\! \left(x \right) F_{22}\! \left(x \right) F_{59}\! \left(x \right)<br />
  
    F_{406}\! \left(x \right) = F_{16}\! \left(x \right) F_{59}\! \left(x \right)<br />
  
    F_{407}\! \left(x \right) = F_{129}\! \left(x \right) F_{299}\! \left(x \right)<br />
  
    F_{408}\! \left(x \right) = F_{409}\! \left(x \right)<br />
  
    F_{409}\! \left(x \right) = F_{410}\! \left(x \right) F_{411}\! \left(x \right)<br />
  
    F_{410}\! \left(x \right) = F_{316}\! \left(x \right)+F_{38}\! \left(x \right)<br />
  
    F_{411}\! \left(x \right) = F_{1}\! \left(x \right)+F_{22}\! \left(x \right)<br />
  
    F_{412}\! \left(x \right) = -F_{414}\! \left(x \right)+F_{413}\! \left(x \right)<br />
  
    F_{413}\! \left(x \right) = F_{211}\! \left(x \right)+F_{393}\! \left(x \right)<br />
  
    F_{414}\! \left(x \right) = F_{410}\! \left(x \right)<br />
  
    F_{415}\! \left(x \right) = F_{416}\! \left(x \right)<br />
  
    F_{416}\! \left(x \right) = -F_{531}\! \left(x \right)+F_{417}\! \left(x \right)<br />
  
    F_{417}\! \left(x \right) = F_{418}\! \left(x \right)+F_{521}\! \left(x \right)<br />
  
    F_{418}\! \left(x \right) = F_{419}\! \left(x \right)+F_{520}\! \left(x \right)<br />
  
    F_{419}\! \left(x \right) = F_{420}\! \left(x \right)+F_{431}\! \left(x \right)<br />
  
    F_{420}\! \left(x \right) = F_{329}\! \left(x \right)+F_{421}\! \left(x \right)<br />
  
    F_{421}\! \left(x \right) = \frac{F_{422}\! \left(x \right)}{F_{22}\! \left(x \right)}<br />
  
    F_{422}\! \left(x \right) = F_{423}\! \left(x \right)<br />
  
    F_{423}\! \left(x \right) = \frac{F_{424}\! \left(x \right)}{F_{411}\! \left(x \right)}<br />
  
    F_{424}\! \left(x \right) = -F_{428}\! \left(x \right)+F_{425}\! \left(x \right)<br />
  
    F_{425}\! \left(x \right) = F_{426}\! \left(x \right)+F_{430}\! \left(x \right)<br />
  
    F_{426}\! \left(x \right) = -F_{410}\! \left(x \right)+F_{427}\! \left(x \right)<br />
  
    F_{427}\! \left(x \right) = F_{172}\! \left(x \right)+F_{428}\! \left(x \right)<br />
  
    F_{428}\! \left(x \right) = F_{429}\! \left(x \right)<br />
  
    F_{429}\! \left(x \right) = F_{22}\! \left(x \right) F_{396}\! \left(x \right)<br />
  
    F_{430}\! \left(x \right) = F_{22}\! \left(x \right) F_{423}\! \left(x \right)<br />
  
    F_{431}\! \left(x \right) = F_{432}\! \left(x \right)<br />
  
    F_{432}\! \left(x \right) = F_{182}\! \left(x \right)+F_{433}\! \left(x \right)<br />
  
    F_{433}\! \left(x \right) = F_{434}\! \left(x \right)<br />
  
    F_{434}\! \left(x \right) = F_{435}\! \left(x \right) F_{6}\! \left(x \right)<br />
  
    F_{435}\! \left(x \right) = \frac{F_{436}\! \left(x \right)}{F_{118}\! \left(x \right) F_{53}\! \left(x \right)}<br />
  
    F_{436}\! \left(x \right) = F_{437}\! \left(x \right)<br />
  
    F_{437}\! \left(x \right) = -F_{509}\! \left(x \right)+F_{438}\! \left(x \right)<br />
  
    F_{438}\! \left(x \right) = \frac{F_{439}\! \left(x \right)}{F_{22}\! \left(x \right)}<br />
  
    F_{439}\! \left(x \right) = F_{440}\! \left(x \right)<br />
  
    F_{440}\! \left(x \right) = -F_{491}\! \left(x \right)+F_{441}\! \left(x \right)<br />
  
    F_{441}\! \left(x \right) = \frac{F_{442}\! \left(x \right)}{F_{22}\! \left(x \right)}<br />
  
    F_{442}\! \left(x \right) = F_{443}\! \left(x \right)<br />
  
    F_{443}\! \left(x \right) = -F_{490}\! \left(x \right)+F_{444}\! \left(x \right)<br />
  
    F_{444}\! \left(x \right) = -F_{464}\! \left(x \right)+F_{445}\! \left(x \right)<br />
  
    F_{445}\! \left(x \right) = \frac{F_{446}\! \left(x \right)}{F_{22}\! \left(x \right)}<br />
  
    F_{446}\! \left(x \right) = F_{447}\! \left(x \right)<br />
  
    F_{447}\! \left(x \right) = -F_{2}\! \left(x \right)+F_{448}\! \left(x \right)<br />
  
    F_{448}\! \left(x \right) = -F_{451}\! \left(x \right)+F_{449}\! \left(x \right)<br />
  
    F_{449}\! \left(x \right) = \frac{F_{450}\! \left(x \right)}{F_{22}\! \left(x \right)}<br />
  
    F_{450}\! \left(x \right) = F_{2}\! \left(x \right)<br />
  
    F_{451}\! \left(x \right) = F_{1}\! \left(x \right)+F_{452}\! \left(x \right)<br />
  
    F_{452}\! \left(x \right) = F_{453}\! \left(x \right)<br />
  
    F_{453}\! \left(x \right) = F_{22}\! \left(x \right) F_{454}\! \left(x \right)<br />
  
    F_{454}\! \left(x \right) = F_{451}\! \left(x \right)+F_{455}\! \left(x \right)<br />
  
    F_{455}\! \left(x \right) = F_{115}\! \left(x \right)+F_{456}\! \left(x \right)<br />
  
    F_{456}\! \left(x \right) = F_{376}\! \left(x \right)+F_{457}\! \left(x \right)+F_{460}\! \left(x \right)<br />
  
    F_{457}\! \left(x \right) = F_{22}\! \left(x \right) F_{458}\! \left(x \right)<br />
  
    F_{458}\! \left(x \right) = F_{459}\! \left(x \right)<br />
  
    F_{459}\! \left(x \right) = F_{452}\! \left(x \right)+F_{456}\! \left(x \right)<br />
  
    F_{460}\! \left(x \right) = F_{22}\! \left(x \right) F_{461}\! \left(x \right)<br />
  
    F_{461}\! \left(x \right) = F_{462}\! \left(x \right)+F_{463}\! \left(x \right)<br />
  
    F_{462}\! \left(x \right) = F_{54}\! \left(x \right)<br />
  
    F_{463}\! \left(x \right) = F_{120}\! \left(x \right)<br />
  
    F_{464}\! \left(x \right) = -F_{468}\! \left(x \right)+F_{465}\! \left(x \right)<br />
  
    F_{465}\! \left(x \right) = \frac{F_{466}\! \left(x \right)}{F_{22}\! \left(x \right)}<br />
  
    F_{466}\! \left(x \right) = F_{467}\! \left(x \right)<br />
  
    F_{467}\! \left(x \right) = F_{447}\! \left(x \right)+F_{452}\! \left(x \right)<br />
  
    F_{468}\! \left(x \right) = F_{469}\! \left(x \right)+F_{470}\! \left(x \right)<br />
  
    F_{469}\! \left(x \right) = F_{451}\! \left(x \right) F_{58}\! \left(x \right)<br />
  
    F_{470}\! \left(x \right) = F_{471}\! \left(x \right)<br />
  
    F_{471}\! \left(x \right) = F_{22}\! \left(x \right) F_{472}\! \left(x \right)<br />
  
    F_{472}\! \left(x \right) = F_{473}\! \left(x \right)+F_{489}\! \left(x \right)<br />
  
    F_{473}\! \left(x \right) = F_{474}\! \left(x \right)+F_{475}\! \left(x \right)<br />
  
    F_{474}\! \left(x \right) = F_{131}\! \left(x \right) F_{454}\! \left(x \right)<br />
  
    F_{475}\! \left(x \right) = F_{476}\! \left(x \right)<br />
  
    F_{476}\! \left(x \right) = -F_{481}\! \left(x \right)+F_{477}\! \left(x \right)<br />
  
    F_{477}\! \left(x \right) = \frac{F_{478}\! \left(x \right)}{F_{22}\! \left(x \right)}<br />
  
    F_{478}\! \left(x \right) = F_{479}\! \left(x \right)<br />
  
    F_{479}\! \left(x \right) = F_{22}\! \left(x \right) F_{480}\! \left(x \right)<br />
  
    F_{480}\! \left(x \right) = F_{481}\! \left(x \right)+F_{487}\! \left(x \right)<br />
  
    F_{481}\! \left(x \right) = F_{482}\! \left(x \right)+F_{485}\! \left(x \right)<br />
  
    F_{482}\! \left(x \right) = F_{131}\! \left(x \right) F_{483}\! \left(x \right)<br />
  
    F_{483}\! \left(x \right) = F_{454}\! \left(x \right)+F_{484}\! \left(x \right)<br />
  
    F_{484}\! \left(x \right) = F_{118}\! \left(x \right) F_{54}\! \left(x \right)<br />
  
    F_{485}\! \left(x \right) = F_{486}\! \left(x \right)<br />
  
    F_{486}\! \left(x \right) = F_{118}\! \left(x \right) F_{277}\! \left(x \right) F_{53}\! \left(x \right)<br />
  
    F_{487}\! \left(x \right) = F_{488}\! \left(x \right)<br />
  
    F_{488}\! \left(x \right) = F_{118}\! \left(x \right) F_{252}\! \left(x \right) F_{53}\! \left(x \right)<br />
  
    F_{489}\! \left(x \right) = F_{486}\! \left(x \right)<br />
  
    F_{490}\! \left(x \right) = F_{451}\! \left(x \right) F_{59}\! \left(x \right)<br />
  
    F_{491}\! \left(x \right) = F_{492}\! \left(x \right)<br />
  
    F_{492}\! \left(x \right) = F_{22}\! \left(x \right) F_{493}\! \left(x \right)<br />
  
    F_{493}\! \left(x \right) = F_{494}\! \left(x \right)+F_{507}\! \left(x \right)<br />
  
    F_{494}\! \left(x \right) = F_{495}\! \left(x \right)+F_{505}\! \left(x \right)<br />
  
    F_{495}\! \left(x \right) = F_{496}\! \left(x \right) F_{52}\! \left(x \right)<br />
  
    F_{496}\! \left(x \right) = F_{497}\! \left(x \right)+F_{503}\! \left(x \right)<br />
  
    F_{497}\! \left(x \right) = F_{454}\! \left(x \right)+F_{498}\! \left(x \right)<br />
  
    F_{498}\! \left(x \right) = F_{22}\! \left(x \right)+F_{499}\! \left(x \right)<br />
  
    F_{499}\! \left(x \right) = F_{376}\! \left(x \right)+F_{500}\! \left(x \right)+F_{501}\! \left(x \right)<br />
  
    F_{500}\! \left(x \right) = F_{115}\! \left(x \right) F_{22}\! \left(x \right)<br />
  
    F_{501}\! \left(x \right) = F_{22}\! \left(x \right) F_{502}\! \left(x \right)<br />
  
    F_{502}\! \left(x \right) = F_{498}\! \left(x \right)<br />
  
    F_{503}\! \left(x \right) = F_{504}\! \left(x \right)<br />
  
    F_{504}\! \left(x \right) = F_{118}\! \left(x \right) F_{22}\! \left(x \right) F_{53}\! \left(x \right)<br />
  
    F_{505}\! \left(x \right) = F_{506}\! \left(x \right)<br />
  
    F_{506}\! \left(x \right) = F_{118}\! \left(x \right) F_{53}\! \left(x \right) F_{61}\! \left(x \right)<br />
  
    F_{507}\! \left(x \right) = F_{508}\! \left(x \right)<br />
  
    F_{508}\! \left(x \right) = F_{118}\! \left(x \right) F_{202}\! \left(x \right) F_{22}\! \left(x \right) F_{53}\! \left(x \right)<br />
  
    F_{509}\! \left(x \right) = F_{510}\! \left(x \right)+F_{511}\! \left(x \right)<br />
  
    F_{510}\! \left(x \right) = F_{202}\! \left(x \right) F_{454}\! \left(x \right)<br />
  
    F_{511}\! \left(x \right) = F_{512}\! \left(x \right)<br />
  
    F_{512}\! \left(x \right) = -F_{515}\! \left(x \right)+F_{513}\! \left(x \right)<br />
  
    F_{513}\! \left(x \right) = \frac{F_{514}\! \left(x \right)}{F_{22}\! \left(x \right)}<br />
  
    F_{514}\! \left(x \right) = F_{440}\! \left(x \right)<br />
  
    F_{515}\! \left(x \right) = -F_{518}\! \left(x \right)+F_{516}\! \left(x \right)<br />
  
    F_{516}\! \left(x \right) = \frac{F_{517}\! \left(x \right)}{F_{22}\! \left(x \right)}<br />
  
    F_{517}\! \left(x \right) = F_{440}\! \left(x \right)<br />
  
    F_{518}\! \left(x \right) = F_{519}\! \left(x \right)<br />
  
    F_{519}\! \left(x \right) = F_{118}\! \left(x \right) F_{334}\! \left(x \right) F_{53}\! \left(x \right)<br />
  
    F_{520}\! \left(x \right) = F_{22}\! \left(x \right) F_{420}\! \left(x \right)<br />
  
    F_{521}\! \left(x \right) = F_{522}\! \left(x \right)<br />
  
    F_{522}\! \left(x \right) = F_{22}\! \left(x \right) F_{523}\! \left(x \right)<br />
  
    F_{523}\! \left(x \right) = \frac{F_{524}\! \left(x \right)}{F_{22}\! \left(x \right)}<br />
  
    F_{524}\! \left(x \right) = F_{525}\! \left(x \right)<br />
  
    F_{525}\! \left(x \right) = -F_{528}\! \left(x \right)+F_{526}\! \left(x \right)<br />
  
    F_{526}\! \left(x \right) = \frac{F_{527}\! \left(x \right)}{F_{22}\! \left(x \right)}<br />
  
    F_{527}\! \left(x \right) = F_{296}\! \left(x \right)<br />
  
    F_{528}\! \left(x \right) = F_{411}\! \left(x \right) F_{529}\! \left(x \right)<br />
  
    F_{529}\! \left(x \right) = F_{166}\! \left(x \right)+F_{530}\! \left(x \right)<br />
  
    F_{530}\! \left(x \right) = F_{52}\! \left(x \right) F_{6}\! \left(x \right)<br />
  
    F_{531}\! \left(x \right) = F_{432}\! \left(x \right)+F_{532}\! \left(x \right)<br />
  
    F_{532}\! \left(x \right) = F_{533}\! \left(x \right)+F_{535}\! \left(x \right)<br />
  
    F_{533}\! \left(x \right) = F_{521}\! \left(x \right)+F_{534}\! \left(x \right)<br />
  
    F_{534}\! \left(x \right) = F_{349}\! \left(x \right) F_{411}\! \left(x \right)<br />
  
    F_{535}\! \left(x \right) = F_{329}\! \left(x \right) F_{411}\! \left(x \right)<br />
  
    F_{536}\! \left(x \right) = F_{537}\! \left(x \right)<br />
  
    F_{537}\! \left(x \right) = F_{22}\! \left(x \right) F_{538}\! \left(x \right)<br />
  
    F_{538}\! \left(x \right) = -F_{207}\! \left(x \right)+F_{338}\! \left(x \right)<br />
  
    F_{539}\! \left(x \right) = F_{540}\! \left(x \right)<br />
  
    F_{540}\! \left(x \right) = F_{11}\! \left(x \right) F_{435}\! \left(x \right)<br />
  
    F_{541}\! \left(x \right) = F_{542}\! \left(x \right)<br />
  
    F_{542}\! \left(x \right) = F_{0}\! \left(x \right) F_{435}\! \left(x \right) F_{6}\! \left(x \right)<br />
  
    F_{543}\! \left(x \right) = F_{544}\! \left(x \right)<br />
  
    F_{544}\! \left(x \right) = F_{11}\! \left(x \right) F_{22}\! \left(x \right) F_{318}\! \left(x \right) F_{58}\! \left(x \right)<br />
  
    F_{545}\! \left(x \right) = -F_{551}\! \left(x \right)+F_{546}\! \left(x \right)<br />
  
    F_{546}\! \left(x \right) = F_{547}\! \left(x \right)+F_{549}\! \left(x \right)<br />
  
    F_{547}\! \left(x \right) = F_{548}\! \left(x \right)<br />
  
    F_{548}\! \left(x \right) = F_{22}\! \left(x \right) F_{237}\! \left(x \right)<br />
  
    F_{549}\! \left(x \right) = F_{550}\! \left(x \right)<br />
  
    F_{550}\! \left(x \right) = F_{252}\! \left(x \right) F_{6}\! \left(x \right)<br />
  
    F_{551}\! \left(x \right) = F_{552}\! \left(x \right) F_{6}\! \left(x \right)<br />
  
    F_{552}\! \left(x \right) = F_{125}\! \left(x \right)+F_{58}\! \left(x \right)<br />
  
    F_{553}\! \left(x \right) = F_{410}\! \left(x \right)<br />
  
    F_{554}\! \left(x \right) = F_{555}\! \left(x \right)<br />
  
    F_{555}\! \left(x \right) = F_{176}\! \left(x \right)+F_{556}\! \left(x \right)<br />
  
    F_{556}\! \left(x \right) = F_{244}\! \left(x \right) F_{6}\! \left(x \right)<br />
  
    F_{557}\! \left(x \right) = F_{0}\! \left(x \right) F_{361}\! \left(x \right)<br />
  
    F_{558}\! \left(x \right) = F_{559}\! \left(x \right)<br />
  
    F_{559}\! \left(x \right) = F_{16}\! \left(x \right) F_{2}\! \left(x \right) F_{22}\! \left(x \right)<br />
  
    F_{560}\! \left(x \right) = F_{561}\! \left(x \right)+F_{577}\! \left(x \right)<br />
  
    F_{561}\! \left(x \right) = F_{562}\! \left(x \right)+F_{563}\! \left(x \right)<br />
  
    F_{562}\! \left(x \right) = F_{5}\! \left(x \right)+F_{66}\! \left(x \right)<br />
  
    F_{563}\! \left(x \right) = F_{564}\! \left(x \right)<br />
  
    F_{564}\! \left(x \right) = F_{22}\! \left(x \right) F_{565}\! \left(x \right)<br />
  
    F_{565}\! \left(x \right) = F_{566}\! \left(x \right)+F_{575}\! \left(x \right)<br />
  
    F_{566}\! \left(x \right) = F_{567}\! \left(x \right)+F_{569}\! \left(x \right)<br />
  
    F_{567}\! \left(x \right) = F_{568}\! \left(x \right)<br />
  
    F_{568}\! \left(x \right) = F_{561}\! \left(x \right) F_{58}\! \left(x \right)<br />
  
    F_{569}\! \left(x \right) = F_{570}\! \left(x \right)<br />
  
    F_{570}\! \left(x \right) = F_{125}\! \left(x \right) F_{571}\! \left(x \right)<br />
  
    F_{571}\! \left(x \right) = F_{572}\! \left(x \right)+F_{573}\! \left(x \right)<br />
  
    F_{572}\! \left(x \right) = F_{0}\! \left(x \right) F_{16}\! \left(x \right)<br />
  
    F_{573}\! \left(x \right) = F_{574}\! \left(x \right)<br />
  
    F_{574}\! \left(x \right) = F_{58} \left(x \right)^{2} F_{5}\! \left(x \right)<br />
  
    F_{575}\! \left(x \right) = F_{576}\! \left(x \right)<br />
  
    F_{576}\! \left(x \right) = F_{58} \left(x \right)^{2} F_{11}\! \left(x \right) F_{125}\! \left(x \right)<br />
  
    F_{577}\! \left(x \right) = F_{578}\! \left(x \right)<br />
  
    F_{578}\! \left(x \right) = F_{58} \left(x \right)^{2} F_{22}\! \left(x \right) F_{5}\! \left(x \right)<br />
  
    F_{579}\! \left(x \right) = F_{580}\! \left(x \right)<br />
  
    F_{580}\! \left(x \right) = F_{22}\! \left(x \right) F_{581}\! \left(x \right)<br />
  
    F_{581}\! \left(x \right) = F_{582}\! \left(x \right)+F_{583}\! \left(x \right)<br />
  
    F_{582}\! \left(x \right) = F_{16}\! \left(x \right) F_{2}\! \left(x \right)<br />
  
    F_{583}\! \left(x \right) = F_{584}\! \left(x \right)<br />
  
    F_{584}\! \left(x \right) = F_{58} \left(x \right)^{2} F_{11}\! \left(x \right)<br />
  
    F_{585}\! \left(x \right) = F_{586}\! \left(x \right)<br />
  
    F_{586}\! \left(x \right) = F_{22}\! \left(x \right) F_{587}\! \left(x \right)<br />
  
    F_{587}\! \left(x \right) = F_{411}\! \left(x \right)+F_{588}\! \left(x \right)<br />
  
    F_{588}\! \left(x \right) = F_{22}\! \left(x \right)<br />
  
    F_{589}\! \left(x \right) = F_{590}\! \left(x \right)<br />
  
    F_{590}\! \left(x \right) = F_{22}\! \left(x \right) F_{591}\! \left(x \right)<br />
  
    F_{591}\! \left(x \right) = F_{592}\! \left(x \right)+F_{602}\! \left(x \right)<br />
  
    F_{592}\! \left(x \right) = F_{593}\! \left(x \right)+F_{595}\! \left(x \right)<br />
  
    F_{593}\! \left(x \right) = F_{589}\! \left(x \right)+F_{594}\! \left(x \right)<br />
  
    F_{594}\! \left(x \right) = F_{10}\! \left(x \right)+F_{4}\! \left(x \right)<br />
  
    F_{595}\! \left(x \right) = -F_{599}\! \left(x \right)+F_{596}\! \left(x \right)<br />
  
    F_{596}\! \left(x \right) = \frac{F_{597}\! \left(x \right)}{F_{22}\! \left(x \right)}<br />
  
    F_{597}\! \left(x \right) = F_{598}\! \left(x \right)<br />
  
    F_{598}\! \left(x \right) = -F_{214}\! \left(x \right)+F_{10}\! \left(x \right)<br />
  
    F_{599}\! \left(x \right) = F_{600}\! \left(x \right)+F_{601}\! \left(x \right)<br />
  
    F_{600}\! \left(x \right) = F_{0}\! \left(x \right) F_{48}\! \left(x \right)<br />
  
    F_{601}\! \left(x \right) = F_{11}\! \left(x \right) F_{129}\! \left(x \right)<br />
  
    F_{602}\! \left(x \right) = F_{603}\! \left(x \right)+F_{607}\! \left(x \right)<br />
  
    F_{603}\! \left(x \right) = F_{604}\! \left(x \right)+F_{606}\! \left(x \right)<br />
  
    F_{604}\! \left(x \right) = -F_{605}\! \left(x \right)+F_{9}\! \left(x \right)<br />
  
    F_{605}\! \left(x \right) = F_{4}\! \left(x \right) F_{6}\! \left(x \right)<br />
  
    F_{606}\! \left(x \right) = F_{37}\! \left(x \right)<br />
  
    F_{607}\! \left(x \right) = -F_{606}\! \left(x \right)+F_{608}\! \left(x \right)<br />
  
    F_{608}\! \left(x \right) = F_{609}\! \left(x \right)+F_{699}\! \left(x \right)<br />
  
    F_{609}\! \left(x \right) = -F_{698}\! \left(x \right)+F_{610}\! \left(x \right)<br />
  
    F_{610}\! \left(x \right) = F_{611}\! \left(x \right)<br />
  
    F_{611}\! \left(x \right) = F_{22}\! \left(x \right) F_{612}\! \left(x \right)<br />
  
    F_{612}\! \left(x \right) = F_{613}\! \left(x \right)+F_{695}\! \left(x \right)<br />
  
    F_{613}\! \left(x \right) = \frac{F_{614}\! \left(x \right)}{F_{22}\! \left(x \right) F_{58}\! \left(x \right)}<br />
  
    F_{614}\! \left(x \right) = F_{615}\! \left(x \right)<br />
  
    F_{615}\! \left(x \right) = -F_{691}\! \left(x \right)+F_{616}\! \left(x \right)<br />
  
    F_{616}\! \left(x \right) = -F_{648}\! \left(x \right)+F_{617}\! \left(x \right)<br />
  
    F_{617}\! \left(x \right) = F_{618}\! \left(x \right)+F_{643}\! \left(x \right)<br />
  
    F_{618}\! \left(x \right) = F_{619}\! \left(x \right)+F_{637}\! \left(x \right)<br />
  
    F_{619}\! \left(x \right) = F_{620}\! \left(x \right)+F_{625}\! \left(x \right)<br />
  
    F_{620}\! \left(x \right) = -F_{623}\! \left(x \right)+F_{621}\! \left(x \right)<br />
  
    F_{621}\! \left(x \right) = \frac{F_{622}\! \left(x \right)}{F_{22}\! \left(x \right)}<br />
  
    F_{622}\! \left(x \right) = F_{87}\! \left(x \right)<br />
  
    F_{623}\! \left(x \right) = F_{624}\! \left(x \right)<br />
  
    F_{624}\! \left(x \right) = F_{0}\! \left(x \right) F_{107}\! \left(x \right) F_{22}\! \left(x \right)<br />
  
    F_{625}\! \left(x \right) = F_{626}\! \left(x \right)<br />
  
    F_{626}\! \left(x \right) = F_{22}\! \left(x \right) F_{58}\! \left(x \right) F_{627}\! \left(x \right)<br />
  
    F_{627}\! \left(x \right) = -F_{635}\! \left(x \right)+F_{628}\! \left(x \right)<br />
  
    F_{628}\! \left(x \right) = \frac{F_{629}\! \left(x \right)}{F_{22}\! \left(x \right)}<br />
  
    F_{629}\! \left(x \right) = F_{630}\! \left(x \right)<br />
  
    F_{630}\! \left(x \right) = F_{631}\! \left(x \right)+F_{633}\! \left(x \right)<br />
  
    F_{631}\! \left(x \right) = F_{196}\! \left(x \right)+F_{632}\! \left(x \right)<br />
  
    F_{632}\! \left(x \right) = F_{11}\! \left(x \right) F_{58}\! \left(x \right)<br />
  
    F_{633}\! \left(x \right) = F_{634}\! \left(x \right)<br />
  
    F_{634}\! \left(x \right) = F_{0}\! \left(x \right) F_{16}\! \left(x \right) F_{22}\! \left(x \right) F_{252}\! \left(x \right)<br />
  
    F_{635}\! \left(x \right) = F_{636}\! \left(x \right)<br />
  
    F_{636}\! \left(x \right) = F_{0}\! \left(x \right) F_{107}\! \left(x \right) F_{252}\! \left(x \right)<br />
  
    F_{637}\! \left(x \right) = F_{638}\! \left(x \right)<br />
  
    F_{638}\! \left(x \right) = F_{22}\! \left(x \right) F_{639}\! \left(x \right)<br />
  
    F_{639}\! \left(x \right) = F_{640}\! \left(x \right)+F_{641}\! \left(x \right)<br />
  
    F_{640}\! \left(x \right) = F_{131}\! \left(x \right) F_{72}\! \left(x \right)<br />
  
    F_{641}\! \left(x \right) = F_{642}\! \left(x \right)<br />
  
    F_{642}\! \left(x \right) = F_{277}\! \left(x \right) F_{58}\! \left(x \right) F_{84}\! \left(x \right)<br />
  
    F_{643}\! \left(x \right) = F_{644}\! \left(x \right)<br />
  
    F_{644}\! \left(x \right) = F_{645}\! \left(x \right)+F_{646}\! \left(x \right)<br />
  
    F_{645}\! \left(x \right) = F_{0}\! \left(x \right) F_{253}\! \left(x \right)<br />
  
    F_{646}\! \left(x \right) = F_{647}\! \left(x \right)<br />
  
    F_{647}\! \left(x \right) = F_{277}\! \left(x \right) F_{5}\! \left(x \right) F_{58}\! \left(x \right)<br />
  
    F_{648}\! \left(x \right) = F_{649}\! \left(x \right)<br />
  
    F_{649}\! \left(x \right) = F_{650}\! \left(x \right)+F_{658}\! \left(x \right)<br />
  
    F_{650}\! \left(x \right) = F_{651}\! \left(x \right)+F_{657}\! \left(x \right)<br />
  
    F_{651}\! \left(x \right) = F_{0}\! \left(x \right) F_{652}\! \left(x \right)<br />
  
    F_{652}\! \left(x \right) = F_{653}\! \left(x \right)+F_{654}\! \left(x \right)<br />
  
    F_{653}\! \left(x \right) = F_{22}\! \left(x \right) F_{36}\! \left(x \right)<br />
  
    F_{654}\! \left(x \right) = F_{655}\! \left(x \right)<br />
  
    F_{655}\! \left(x \right) = F_{22}\! \left(x \right) F_{656}\! \left(x \right)<br />
  
    F_{656}\! \left(x \right) = F_{143}\! \left(x \right)+F_{234}\! \left(x \right)<br />
  
    F_{657}\! \left(x \right) = F_{124}\! \left(x \right)<br />
  
    F_{658}\! \left(x \right) = -F_{687}\! \left(x \right)+F_{659}\! \left(x \right)<br />
  
    F_{659}\! \left(x \right) = F_{660}\! \left(x \right)<br />
  
    F_{660}\! \left(x \right) = -F_{674}\! \left(x \right)+F_{661}\! \left(x \right)<br />
  
    F_{661}\! \left(x \right) = \frac{F_{662}\! \left(x \right)}{F_{22}\! \left(x \right)}<br />
  
    F_{662}\! \left(x \right) = F_{663}\! \left(x \right)<br />
  
    F_{663}\! \left(x \right) = -F_{666}\! \left(x \right)+F_{664}\! \left(x \right)<br />
  
    F_{664}\! \left(x \right) = F_{665}\! \left(x \right)<br />
  
    F_{665}\! \left(x \right) = F_{22}\! \left(x \right) F_{617}\! \left(x \right)<br />
  
    F_{666}\! \left(x \right) = F_{667}\! \left(x \right)<br />
  
    F_{667}\! \left(x \right) = F_{22}\! \left(x \right) F_{668}\! \left(x \right)<br />
  
    F_{668}\! \left(x \right) = F_{669}\! \left(x \right)+F_{671}\! \left(x \right)<br />
  
    F_{669}\! \left(x \right) = F_{594}\! \left(x \right)+F_{670}\! \left(x \right)<br />
  
    F_{670}\! \left(x \right) = F_{134}\! \left(x \right)<br />
  
    F_{671}\! \left(x \right) = F_{672}\! \left(x \right)<br />
  
    F_{672}\! \left(x \right) = F_{22}\! \left(x \right) F_{673}\! \left(x \right)<br />
  
    F_{673}\! \left(x \right) = F_{136}\! \left(x \right)+F_{632}\! \left(x \right)<br />
  
    F_{674}\! \left(x \right) = -F_{677}\! \left(x \right)+F_{675}\! \left(x \right)<br />
  
    F_{675}\! \left(x \right) = \frac{F_{676}\! \left(x \right)}{F_{22}\! \left(x \right)}<br />
  
    F_{676}\! \left(x \right) = F_{663}\! \left(x \right)<br />
  
    F_{677}\! \left(x \right) = F_{678}\! \left(x \right)<br />
  
    F_{678}\! \left(x \right) = F_{679}\! \left(x \right)+F_{683}\! \left(x \right)<br />
  
    F_{679}\! \left(x \right) = F_{22}\! \left(x \right) F_{680}\! \left(x \right)<br />
  
    F_{680}\! \left(x \right) = F_{142}\! \left(x \right)+F_{681}\! \left(x \right)<br />
  
    F_{681}\! \left(x \right) = F_{682}\! \left(x \right)<br />
  
    F_{682}\! \left(x \right) = F_{11}\! \left(x \right) F_{58}\! \left(x \right) F_{59}\! \left(x \right)<br />
  
    F_{683}\! \left(x \right) = F_{684}\! \left(x \right)+F_{685}\! \left(x \right)<br />
  
    F_{684}\! \left(x \right) = F_{0}\! \left(x \right) F_{261}\! \left(x \right)<br />
  
    F_{685}\! \left(x \right) = F_{686}\! \left(x \right)<br />
  
    F_{686}\! \left(x \right) = F_{11}\! \left(x \right) F_{247}\! \left(x \right) F_{58}\! \left(x \right)<br />
  
    F_{687}\! \left(x \right) = F_{688}\! \left(x \right)+F_{689}\! \left(x \right)<br />
  
    F_{688}\! \left(x \right) = F_{0}\! \left(x \right) F_{654}\! \left(x \right)<br />
  
    F_{689}\! \left(x \right) = F_{690}\! \left(x \right)<br />
  
    F_{690}\! \left(x \right) = F_{11}\! \left(x \right) F_{126}\! \left(x \right) F_{58}\! \left(x \right)<br />
  
    F_{691}\! \left(x \right) = -F_{694}\! \left(x \right)+F_{692}\! \left(x \right)<br />
  
    F_{692}\! \left(x \right) = F_{132}\! \left(x \right)+F_{693}\! \left(x \right)<br />
  
    F_{693}\! \left(x \right) = F_{620}\! \left(x \right)+F_{69}\! \left(x \right)<br />
  
    F_{694}\! \left(x \right) = F_{650}\! \left(x \right)<br />
  
    F_{695}\! \left(x \right) = F_{696}\! \left(x \right)<br />
  
    F_{696}\! \left(x \right) = \frac{F_{697}\! \left(x \right)}{F_{22}\! \left(x \right) F_{58}\! \left(x \right)}<br />
  
    F_{697}\! \left(x \right) = F_{658}\! \left(x \right)<br />
  
    F_{698}\! \left(x \right) = F_{10}\! \left(x \right) F_{58}\! \left(x \right)<br />
  
    F_{699}\! \left(x \right) = F_{700}\! \left(x \right)<br />
  
    F_{700}\! \left(x \right) = F_{194}\! \left(x \right)+F_{543}\! \left(x \right)<br />
  
  System of equations in sympy syntax:<br />
  
    Eq(F_0(x), F_1(x) + F_2(x))<br />
  
    Eq(F_1(x), 1)<br />
  
    Eq(F_2(x), F_3(x))<br />
  
    Eq(F_3(x), F_22(x)*F_4(x))<br />
  
    Eq(F_4(x), F_0(x) + F_5(x))<br />
  
    Eq(F_5(x), F_6(x) + F_7(x))<br />
  
    Eq(F_6(x), x**2 + 8*x + (F_6(x) + 1)**2*(x**2 + 4*x - 1) + (F_6(x) + 1)*(2*x**2 - 13*x + 3) + F_6(x) - 2)<br />
  
    Eq(F_7(x), F_8(x))<br />
  
    Eq(F_8(x), F_22(x)*F_9(x))<br />
  
    Eq(F_9(x), F_10(x) + F_589(x))<br />
  
    Eq(F_10(x), F_11(x) + F_66(x))<br />
  
    Eq(F_11(x), F_12(x) + F_6(x))<br />
  
    Eq(F_12(x), F_13(x))<br />
  
    Eq(F_13(x), F_14(x)*F_22(x))<br />
  
    Eq(F_14(x), F_15(x) + F_27(x))<br />
  
    Eq(F_15(x), F_16(x)*F_22(x))<br />
  
    Eq(F_16(x), F_17(x)/F_585(x))<br />
  
    Eq(F_17(x), F_18(x) - F_23(x))<br />
  
    Eq(F_18(x), F_19(x))<br />
  
    Eq(F_19(x), F_20(x)*F_22(x))<br />
  
    Eq(F_20(x), F_21(x)/F_22(x))<br />
  
    Eq(F_21(x), F_10(x))<br />
  
    Eq(F_22(x), x)<br />
  
    Eq(F_23(x), F_24(x))<br />
  
    Eq(F_24(x), F_22(x)*F_25(x))<br />
  
    Eq(F_25(x), F_26(x) + F_579(x))<br />
  
    Eq(F_26(x), F_27(x) + F_560(x))<br />
  
    Eq(F_27(x), F_28(x) + F_558(x))<br />
  
    Eq(F_28(x), F_29(x) + F_30(x))<br />
  
    Eq(F_29(x), F_12(x) + F_2(x))<br />
  
    Eq(F_30(x), F_31(x))<br />
  
    Eq(F_31(x), F_22(x)*F_32(x))<br />
  
    Eq(F_32(x), F_33(x) + F_557(x))<br />
  
    Eq(F_33(x), F_34(x) + F_37(x))<br />
  
    Eq(F_34(x), F_35(x)*F_4(x))<br />
  
    Eq(F_35(x), F_16(x) - F_36(x))<br />
  
    Eq(F_36(x), x**2 + 8*x + (x**2 + 4*x - 1)*F_36(x)**2 + (2*x**2 - 13*x + 4)*F_36(x) - 2)<br />
  
    Eq(F_37(x), F_0(x)*F_38(x))<br />
  
    Eq(F_38(x), F_39(x))<br />
  
    Eq(F_39(x), F_22(x)*F_40(x))<br />
  
    Eq(F_40(x), F_41(x))<br />
  
    Eq(F_41(x), -F_235(x) + F_42(x))<br />
  
    Eq(F_42(x), F_43(x)/F_22(x))<br />
  
    Eq(F_43(x), F_44(x))<br />
  
    Eq(F_44(x), F_45(x))<br />
  
    Eq(F_45(x), F_22(x)*F_46(x))<br />
  
    Eq(F_46(x), F_172(x) + F_47(x))<br />
  
    Eq(F_47(x), F_48(x) + F_49(x))<br />
  
    Eq(F_48(x), F_44(x) + F_6(x))<br />
  
    Eq(F_49(x), F_50(x))<br />
  
    Eq(F_50(x), F_22(x)*F_48(x)*F_51(x))<br />
  
    Eq(F_51(x), F_52(x) + F_61(x))<br />
  
    Eq(F_52(x), F_53(x) + F_56(x))<br />
  
    Eq(F_53(x), F_1(x) + F_54(x))<br />
  
    Eq(F_54(x), F_55(x))<br />
  
    Eq(F_55(x), F_22(x)*F_53(x))<br />
  
    Eq(F_56(x), F_57(x))<br />
  
    Eq(F_57(x), F_22(x)*F_52(x)*F_53(x)*F_58(x))<br />
  
    Eq(F_58(x), F_1(x) + F_59(x))<br />
  
    Eq(F_59(x), F_60(x))<br />
  
    Eq(F_60(x), F_22(x)*F_52(x))<br />
  
    Eq(F_61(x), F_62(x)/F_11(x))<br />
  
    Eq(F_62(x), F_63(x))<br />
  
    Eq(F_63(x), -F_152(x) + F_64(x))<br />
  
    Eq(F_64(x), F_65(x)/F_22(x))<br />
  
    Eq(F_65(x), F_66(x))<br />
  
    Eq(F_66(x), F_67(x))<br />
  
    Eq(F_67(x), F_22(x)*F_68(x))<br />
  
    Eq(F_68(x), F_132(x) + F_69(x))<br />
  
    Eq(F_69(x), F_123(x) + F_70(x))<br />
  
    Eq(F_70(x), F_71(x))<br />
  
    Eq(F_71(x), F_22(x)*F_58(x)*F_72(x))<br />
  
    Eq(F_72(x), F_73(x) + F_77(x))<br />
  
    Eq(F_73(x), F_74(x) + F_76(x))<br />
  
    Eq(F_74(x), F_75(x)/F_22(x))<br />
  
    Eq(F_75(x), F_5(x))<br />
  
    Eq(F_76(x), F_0(x)*F_6(x))<br />
  
    Eq(F_77(x), F_104(x) + F_78(x))<br />
  
    Eq(F_78(x), F_79(x))<br />
  
    Eq(F_79(x), F_22(x)*F_80(x))<br />
  
    Eq(F_80(x), F_81(x) + F_82(x))<br />
  
    Eq(F_81(x), F_51(x)*F_74(x))<br />
  
    Eq(F_82(x), F_83(x))<br />
  
    Eq(F_83(x), F_61(x)*F_84(x))<br />
  
    Eq(F_84(x), F_85(x) - F_90(x))<br />
  
    Eq(F_85(x), F_86(x)/F_22(x))<br />
  
    Eq(F_86(x), F_87(x))<br />
  
    Eq(F_87(x), F_11(x) + F_88(x))<br />
  
    Eq(F_88(x), F_89(x))<br />
  
    Eq(F_89(x), F_0(x)*F_22(x)*F_6(x))<br />
  
    Eq(F_90(x), F_91(x))<br />
  
    Eq(F_91(x), F_0(x)*F_22(x)*F_92(x))<br />
  
    Eq(F_92(x), F_93(x)/F_0(x))<br />
  
    Eq(F_93(x), F_94(x) - F_99(x))<br />
  
    Eq(F_94(x), F_95(x)/F_22(x))<br />
  
    Eq(F_95(x), F_96(x))<br />
  
    Eq(F_96(x), -F_0(x) + F_97(x))<br />
  
    Eq(F_97(x), F_98(x)/F_22(x))<br />
  
    Eq(F_98(x), F_2(x))<br />
  
    Eq(F_99(x), F_100(x) - F_103(x))<br />
  
    Eq(F_100(x), F_101(x)/F_22(x))<br />
  
    Eq(F_101(x), F_102(x))<br />
  
    Eq(F_102(x), -F_6(x) + F_96(x))<br />
  
    Eq(F_103(x), F_2(x)*F_92(x))<br />
  
    Eq(F_104(x), F_0(x)*F_105(x))<br />
  
    Eq(F_105(x), F_106(x) - F_6(x))<br />
  
    Eq(F_106(x), F_107(x) - F_58(x))<br />
  
    Eq(F_107(x), F_108(x)/F_118(x))<br />
  
    Eq(F_108(x), F_109(x) - F_111(x))<br />
  
    Eq(F_109(x), F_110(x)/F_22(x))<br />
  
    Eq(F_110(x), F_96(x))<br />
  
    Eq(F_111(x), F_112(x) - F_114(x))<br />
  
    Eq(F_112(x), F_113(x)/F_22(x))<br />
  
    Eq(F_113(x), F_102(x))<br />
  
    Eq(F_114(x), F_107(x)*F_115(x))<br />
  
    Eq(F_115(x), F_116(x))<br />
  
    Eq(F_116(x), F_117(x)*F_22(x))<br />
  
    Eq(F_117(x), F_118(x) + F_119(x))<br />
  
    Eq(F_118(x), F_1(x) + F_115(x))<br />
  
    Eq(F_119(x), F_120(x) + F_54(x))<br />
  
    Eq(F_120(x), F_121(x))<br />
  
    Eq(F_121(x), F_122(x)*F_22(x))<br />
  
    Eq(F_122(x), F_115(x) + F_120(x))<br />
  
    Eq(F_123(x), F_124(x))<br />
  
    Eq(F_124(x), F_11(x)*F_125(x)*F_58(x))<br />
  
    Eq(F_125(x), F_126(x) + F_22(x))<br />
  
    Eq(F_126(x), F_127(x))<br />
  
    Eq(F_127(x), F_128(x)*F_22(x))<br />
  
    Eq(F_128(x), F_129(x) + F_59(x))<br />
  
    Eq(F_129(x), F_130(x))<br />
  
    Eq(F_130(x), F_131(x)*F_22(x)*F_58(x)**2)<br />
  
    Eq(F_131(x), F_129(x) + F_58(x))<br />
  
    Eq(F_132(x), F_133(x))<br />
  
    Eq(F_133(x), F_134(x) + F_138(x))<br />
  
    Eq(F_134(x), F_135(x)*F_22(x))<br />
  
    Eq(F_135(x), F_136(x) + F_137(x))<br />
  
    Eq(F_136(x), F_0(x)*F_36(x))<br />
  
    Eq(F_137(x), F_5(x)*F_58(x))<br />
  
    Eq(F_138(x), F_139(x))<br />
  
    Eq(F_139(x), F_140(x)*F_22(x))<br />
  
    Eq(F_140(x), F_141(x) + F_146(x))<br />
  
    Eq(F_141(x), F_142(x) + F_144(x))<br />
  
    Eq(F_142(x), F_0(x)*F_143(x))<br />
  
    Eq(F_143(x), F_105(x) + F_59(x))<br />
  
    Eq(F_144(x), F_145(x))<br />
  
    Eq(F_145(x), F_5(x)*F_58(x)*F_59(x))<br />
  
    Eq(F_146(x), F_147(x))<br />
  
    Eq(F_147(x), F_148(x)*F_22(x))<br />
  
    Eq(F_148(x), F_149(x) + F_151(x))<br />
  
    Eq(F_149(x), F_131(x)*F_150(x))<br />
  
    Eq(F_150(x), F_135(x) + F_141(x))<br />
  
    Eq(F_151(x), F_146(x)*F_58(x))<br />
  
    Eq(F_152(x), F_153(x) + F_154(x))<br />
  
    Eq(F_153(x), F_5(x)*F_52(x))<br />
  
    Eq(F_154(x), F_155(x))<br />
  
    Eq(F_155(x), F_156(x)*F_22(x))<br />
  
    Eq(F_156(x), F_157(x) + F_167(x))<br />
  
    Eq(F_157(x), F_158(x)*F_53(x))<br />
  
    Eq(F_158(x), F_153(x) + F_159(x))<br />
  
    Eq(F_159(x), F_160(x) - F_162(x))<br />
  
    Eq(F_160(x), F_161(x)/F_22(x))<br />
  
    Eq(F_161(x), F_5(x))<br />
  
    Eq(F_162(x), F_163(x) - F_165(x))<br />
  
    Eq(F_163(x), F_164(x)/F_22(x))<br />
  
    Eq(F_164(x), F_7(x))<br />
  
    Eq(F_165(x), F_166(x)*F_2(x))<br />
  
    Eq(F_166(x), F_159(x)/F_0(x))<br />
  
    Eq(F_167(x), F_168(x))<br />
  
    Eq(F_168(x), F_169(x)*F_22(x)*F_53(x))<br />
  
    Eq(F_169(x), F_170(x) + F_171(x))<br />
  
    Eq(F_170(x), F_156(x)*F_58(x))<br />
  
    Eq(F_171(x), F_129(x)*F_158(x))<br />
  
    Eq(F_172(x), F_173(x) - F_554(x))<br />
  
    Eq(F_173(x), F_174(x) + F_553(x))<br />
  
    Eq(F_174(x), F_175(x) + F_545(x))<br />
  
    Eq(F_175(x), F_176(x) + F_48(x))<br />
  
    Eq(F_176(x), F_177(x))<br />
  
    Eq(F_177(x), F_178(x)*F_22(x))<br />
  
    Eq(F_178(x), F_179(x))<br />
  
    Eq(F_179(x), F_180(x)*F_22(x))<br />
  
    Eq(F_180(x), F_181(x)/F_22(x))<br />
  
    Eq(F_181(x), F_182(x))<br />
  
    Eq(F_182(x), F_183(x) - F_350(x))<br />
  
    Eq(F_183(x), F_184(x)/(F_0(x)*F_22(x)))<br />
  
    Eq(F_184(x), F_185(x))<br />
  
    Eq(F_185(x), F_11(x) + F_186(x))<br />
  
    Eq(F_186(x), F_187(x))<br />
  
    Eq(F_187(x), F_188(x)*F_22(x))<br />
  
    Eq(F_188(x), F_189(x) + F_192(x))<br />
  
    Eq(F_189(x), F_185(x) + F_190(x))<br />
  
    Eq(F_190(x), F_191(x))<br />
  
    Eq(F_191(x), F_185(x)*F_22(x)*F_51(x))<br />
  
    Eq(F_192(x), F_193(x) + F_195(x))<br />
  
    Eq(F_193(x), F_185(x) + F_194(x))<br />
  
    Eq(F_194(x), F_37(x))<br />
  
    Eq(F_195(x), F_196(x) + F_543(x))<br />
  
    Eq(F_196(x), F_197(x))<br />
  
    Eq(F_197(x), F_198(x)*F_22(x))<br />
  
    Eq(F_198(x), F_199(x) + F_541(x))<br />
  
    Eq(F_199(x), F_200(x) + F_204(x))<br />
  
    Eq(F_200(x), F_201(x))<br />
  
    Eq(F_201(x), F_11(x)*F_202(x))<br />
  
    Eq(F_202(x), F_203(x)/F_22(x))<br />
  
    Eq(F_203(x), F_61(x))<br />
  
    Eq(F_204(x), F_205(x) + F_539(x))<br />
  
    Eq(F_205(x), F_0(x)*F_206(x))<br />
  
    Eq(F_206(x), F_207(x) - F_433(x))<br />
  
    Eq(F_207(x), F_208(x))<br />
  
    Eq(F_208(x), F_209(x) - F_324(x))<br />
  
    Eq(F_209(x), F_210(x)/F_22(x))<br />
  
    Eq(F_210(x), F_211(x))<br />
  
    Eq(F_211(x), F_212(x) + F_222(x))<br />
  
    Eq(F_212(x), F_213(x) + F_221(x))<br />
  
    Eq(F_213(x), F_214(x) + F_215(x))<br />
  
    Eq(F_214(x), F_16(x) - F_36(x))<br />
  
    Eq(F_215(x), F_216(x))<br />
  
    Eq(F_216(x), F_217(x)*F_22(x))<br />
  
    Eq(F_217(x), F_211(x) + F_218(x))<br />
  
    Eq(F_218(x), F_213(x) + F_219(x))<br />
  
    Eq(F_219(x), F_220(x))<br />
  
    Eq(F_220(x), F_213(x)*F_22(x)*F_51(x))<br />
  
    Eq(F_221(x), F_38(x))<br />
  
    Eq(F_222(x), F_223(x) - F_320(x))<br />
  
    Eq(F_223(x), F_224(x) + F_315(x))<br />
  
    Eq(F_224(x), F_225(x) - F_309(x))<br />
  
    Eq(F_225(x), F_226(x))<br />
  
    Eq(F_226(x), F_22(x)*F_227(x))<br />
  
    Eq(F_227(x), F_228(x) + F_307(x))<br />
  
    Eq(F_228(x), F_229(x)/(F_22(x)*F_58(x)))<br />
  
    Eq(F_229(x), F_230(x))<br />
  
    Eq(F_230(x), F_231(x) - F_289(x))<br />
  
    Eq(F_231(x), F_232(x) + F_270(x))<br />
  
    Eq(F_232(x), F_233(x) + F_253(x))<br />
  
    Eq(F_233(x), F_107(x) + F_234(x))<br />
  
    Eq(F_234(x), F_235(x))<br />
  
    Eq(F_235(x), F_236(x))<br />
  
    Eq(F_236(x), F_22(x)*F_237(x)*F_58(x))<br />
  
    Eq(F_237(x), F_238(x) + F_239(x))<br />
  
    Eq(F_238(x), F_107(x)*F_131(x))<br />
  
    Eq(F_239(x), F_240(x) + F_241(x))<br />
  
    Eq(F_240(x), -F_131(x) + F_233(x))<br />
  
    Eq(F_241(x), F_242(x)*F_6(x))<br />
  
    Eq(F_242(x), F_243(x)/F_22(x))<br />
  
    Eq(F_243(x), F_244(x))<br />
  
    Eq(F_244(x), -F_126(x) + F_245(x))<br />
  
    Eq(F_245(x), F_246(x) + F_247(x))<br />
  
    Eq(F_246(x), F_22(x)*F_59(x))<br />
  
    Eq(F_247(x), F_248(x))<br />
  
    Eq(F_248(x), F_22(x)*F_249(x)*F_58(x))<br />
  
    Eq(F_249(x), F_250(x) + F_251(x))<br />
  
    Eq(F_250(x), F_125(x)*F_131(x))<br />
  
    Eq(F_251(x), F_252(x)*F_58(x))<br />
  
    Eq(F_252(x), F_125(x) + F_244(x))<br />
  
    Eq(F_253(x), F_254(x) - F_258(x))<br />
  
    Eq(F_254(x), F_255(x)/F_22(x))<br />
  
    Eq(F_255(x), F_256(x))<br />
  
    Eq(F_256(x), F_22(x)*F_257(x))<br />
  
    Eq(F_257(x), F_258(x) + F_266(x))<br />
  
    Eq(F_258(x), F_233(x) + F_259(x))<br />
  
    Eq(F_259(x), F_260(x) + F_261(x))<br />
  
    Eq(F_260(x), F_107(x)*F_22(x))<br />
  
    Eq(F_261(x), F_262(x))<br />
  
    Eq(F_262(x), F_22(x)*F_263(x))<br />
  
    Eq(F_263(x), F_264(x) + F_265(x))<br />
  
    Eq(F_264(x), F_125(x)*F_237(x))<br />
  
    Eq(F_265(x), F_107(x)*F_252(x)*F_58(x))<br />
  
    Eq(F_266(x), F_267(x))<br />
  
    Eq(F_267(x), F_260(x) + F_268(x))<br />
  
    Eq(F_268(x), F_269(x))<br />
  
    Eq(F_269(x), F_107(x)*F_22(x)*F_249(x))<br />
  
    Eq(F_270(x), F_271(x))<br />
  
    Eq(F_271(x), F_22(x)*F_272(x))<br />
  
    Eq(F_272(x), F_273(x) + F_276(x))<br />
  
    Eq(F_273(x), F_131(x)*F_274(x))<br />
  
    Eq(F_274(x), F_275(x)/F_22(x))<br />
  
    Eq(F_275(x), F_35(x))<br />
  
    Eq(F_276(x), F_16(x)*F_277(x)*F_58(x))<br />
  
    Eq(F_277(x), F_278(x)/F_4(x))<br />
  
    Eq(F_278(x), F_279(x) - F_283(x))<br />
  
    Eq(F_279(x), F_280(x)/F_22(x))<br />
  
    Eq(F_280(x), F_281(x))<br />
  
    Eq(F_281(x), F_22(x)*F_282(x))<br />
  
    Eq(F_282(x), F_283(x) + F_287(x))<br />
  
    Eq(F_283(x), F_284(x) + F_285(x))<br />
  
    Eq(F_284(x), F_131(x)*F_4(x))<br />
  
    Eq(F_285(x), F_252(x)*F_286(x))<br />
  
    Eq(F_286(x), F_0(x) + F_11(x))<br />
  
    Eq(F_287(x), F_288(x))<br />
  
    Eq(F_288(x), F_252(x)*F_4(x))<br />
  
    Eq(F_289(x), F_290(x) + F_293(x))<br />
  
    Eq(F_290(x), F_107(x) + F_291(x))<br />
  
    Eq(F_291(x), F_292(x))<br />
  
    Eq(F_292(x), F_22(x)*F_274(x)*F_58(x))<br />
  
    Eq(F_293(x), F_294(x) - F_301(x))<br />
  
    Eq(F_294(x), F_295(x)/F_22(x))<br />
  
    Eq(F_295(x), F_296(x))<br />
  
    Eq(F_296(x), F_214(x) + F_297(x))<br />
  
    Eq(F_297(x), F_298(x))<br />
  
    Eq(F_298(x), F_22(x)*F_299(x))<br />
  
    Eq(F_299(x), F_300(x) + F_6(x))<br />
  
    Eq(F_300(x), F_59(x)*F_6(x))<br />
  
    Eq(F_301(x), F_290(x) + F_302(x))<br />
  
    Eq(F_302(x), F_303(x))<br />
  
    Eq(F_303(x), F_22(x)*F_304(x))<br />
  
    Eq(F_304(x), F_107(x) + F_305(x))<br />
  
    Eq(F_305(x), F_306(x))<br />
  
    Eq(F_306(x), F_58(x)**2*F_6(x))<br />
  
    Eq(F_307(x), F_308(x))<br />
  
    Eq(F_308(x), F_252(x)*F_304(x))<br />
  
    Eq(F_309(x), F_310(x) + F_311(x))<br />
  
    Eq(F_310(x), F_214(x)*F_58(x))<br />
  
    Eq(F_311(x), F_312(x))<br />
  
    Eq(F_312(x), F_125(x)*F_22(x)*F_313(x))<br />
  
    Eq(F_313(x), F_16(x) + F_314(x))<br />
  
    Eq(F_314(x), F_306(x))<br />
  
    Eq(F_315(x), F_316(x))<br />
  
    Eq(F_316(x), F_317(x))<br />
  
    Eq(F_317(x), F_22(x)*F_318(x)*F_58(x)*F_6(x))<br />
  
    Eq(F_318(x), F_319(x)/(F_22(x)*F_58(x)))<br />
  
    Eq(F_319(x), F_244(x))<br />
  
    Eq(F_320(x), F_321(x))<br />
  
    Eq(F_321(x), -F_311(x) + F_322(x))<br />
  
    Eq(F_322(x), F_323(x))<br />
  
    Eq(F_323(x), F_22(x)*F_252(x)*F_313(x))<br />
  
    Eq(F_324(x), F_325(x) + F_329(x))<br />
  
    Eq(F_325(x), F_326(x) - F_536(x))<br />
  
    Eq(F_326(x), F_327(x) - F_415(x))<br />
  
    Eq(F_327(x), F_328(x) + F_336(x))<br />
  
    Eq(F_328(x), F_209(x) - F_329(x))<br />
  
    Eq(F_329(x), F_330(x) + F_332(x))<br />
  
    Eq(F_330(x), F_331(x)/F_22(x))<br />
  
    Eq(F_331(x), F_38(x))<br />
  
    Eq(F_332(x), F_333(x))<br />
  
    Eq(F_333(x), F_334(x)*F_6(x))<br />
  
    Eq(F_334(x), F_335(x)/F_22(x))<br />
  
    Eq(F_335(x), F_244(x))<br />
  
    Eq(F_336(x), F_337(x))<br />
  
    Eq(F_337(x), F_22(x)*F_338(x))<br />
  
    Eq(F_338(x), F_339(x)/F_22(x)**2)<br />
  
    Eq(F_339(x), F_340(x))<br />
  
    Eq(F_340(x), F_341(x) - F_412(x))<br />
  
    Eq(F_341(x), F_342(x) - F_408(x))<br />
  
    Eq(F_342(x), F_343(x) + F_393(x))<br />
  
    Eq(F_343(x), F_344(x) - F_387(x))<br />
  
    Eq(F_344(x), F_345(x) + F_354(x))<br />
  
    Eq(F_345(x), F_212(x) + F_346(x))<br />
  
    Eq(F_346(x), F_347(x))<br />
  
    Eq(F_347(x), F_22(x)**2*F_348(x))<br />
  
    Eq(F_348(x), F_330(x) + F_349(x))<br />
  
    Eq(F_349(x), F_350(x) + F_352(x))<br />
  
    Eq(F_350(x), F_351(x)/F_22(x))<br />
  
    Eq(F_351(x), F_48(x))<br />
  
    Eq(F_352(x), F_353(x))<br />
  
    Eq(F_353(x), F_202(x)*F_6(x))<br />
  
    Eq(F_354(x), F_355(x) + F_356(x))<br />
  
    Eq(F_355(x), F_218(x) + F_222(x))<br />
  
    Eq(F_356(x), F_357(x))<br />
  
    Eq(F_357(x), F_22(x)**2*F_358(x))<br />
  
    Eq(F_358(x), F_359(x) + F_363(x))<br />
  
    Eq(F_359(x), F_360(x)/F_22(x))<br />
  
    Eq(F_360(x), F_361(x))<br />
  
    Eq(F_361(x), -F_362(x) + F_46(x))<br />
  
    Eq(F_362(x), F_38(x) + F_48(x))<br />
  
    Eq(F_363(x), F_364(x))<br />
  
    Eq(F_364(x), F_365(x)*F_58(x)*F_6(x))<br />
  
    Eq(F_365(x), F_366(x)/(F_22(x)*F_53(x)))<br />
  
    Eq(F_366(x), F_367(x))<br />
  
    Eq(F_367(x), F_22(x)*F_368(x)*F_52(x)*F_58(x))<br />
  
    Eq(F_368(x), F_369(x)/(F_118(x)*F_22(x)))<br />
  
    Eq(F_369(x), F_370(x))<br />
  
    Eq(F_370(x), F_22(x)*F_371(x))<br />
  
    Eq(F_371(x), F_372(x) + F_373(x))<br />
  
    Eq(F_372(x), F_118(x)*F_131(x))<br />
  
    Eq(F_373(x), F_374(x)*F_58(x))<br />
  
    Eq(F_374(x), F_22(x) + F_375(x))<br />
  
    Eq(F_375(x), F_376(x) + F_377(x) + F_386(x))<br />
  
    Eq(F_376(x), 0)<br />
  
    Eq(F_377(x), F_22(x)*F_378(x))<br />
  
    Eq(F_378(x), F_374(x) + F_379(x))<br />
  
    Eq(F_379(x), F_380(x) + F_383(x))<br />
  
    Eq(F_380(x), F_381(x))<br />
  
    Eq(F_381(x), F_22(x)*F_382(x))<br />
  
    Eq(F_382(x), F_22(x) + F_380(x))<br />
  
    Eq(F_383(x), F_384(x))<br />
  
    Eq(F_384(x), F_22(x)*F_385(x))<br />
  
    Eq(F_385(x), F_375(x) + F_383(x))<br />
  
    Eq(F_386(x), F_22(x)*F_54(x))<br />
  
    Eq(F_387(x), F_218(x) + F_388(x))<br />
  
    Eq(F_388(x), F_389(x))<br />
  
    Eq(F_389(x), F_22(x)*F_390(x))<br />
  
    Eq(F_390(x), F_391(x) + F_47(x))<br />
  
    Eq(F_391(x), F_392(x))<br />
  
    Eq(F_392(x), F_129(x)*F_58(x)*F_6(x))<br />
  
    Eq(F_393(x), F_394(x))<br />
  
    Eq(F_394(x), F_22(x)*F_395(x))<br />
  
    Eq(F_395(x), F_396(x) + F_407(x))<br />
  
    Eq(F_396(x), F_397(x) - F_406(x))<br />
  
    Eq(F_397(x), F_398(x) - F_405(x))<br />
  
    Eq(F_398(x), F_399(x)/F_22(x))<br />
  
    Eq(F_399(x), F_400(x))<br />
  
    Eq(F_400(x), F_22(x)*F_401(x))<br />
  
    Eq(F_401(x), F_402(x) + F_403(x))<br />
  
    Eq(F_402(x), F_291(x) + F_293(x))<br />
  
    Eq(F_403(x), F_404(x))<br />
  
    Eq(F_404(x), F_22(x)*F_58(x)**2*F_6(x))<br />
  
    Eq(F_405(x), F_16(x)*F_22(x)*F_59(x))<br />
  
    Eq(F_406(x), F_16(x)*F_59(x))<br />
  
    Eq(F_407(x), F_129(x)*F_299(x))<br />
  
    Eq(F_408(x), F_409(x))<br />
  
    Eq(F_409(x), F_410(x)*F_411(x))<br />
  
    Eq(F_410(x), F_316(x) + F_38(x))<br />
  
    Eq(F_411(x), F_1(x) + F_22(x))<br />
  
    Eq(F_412(x), F_413(x) - F_414(x))<br />
  
    Eq(F_413(x), F_211(x) + F_393(x))<br />
  
    Eq(F_414(x), F_410(x))<br />
  
    Eq(F_415(x), F_416(x))<br />
  
    Eq(F_416(x), F_417(x) - F_531(x))<br />
  
    Eq(F_417(x), F_418(x) + F_521(x))<br />
  
    Eq(F_418(x), F_419(x) + F_520(x))<br />
  
    Eq(F_419(x), F_420(x) + F_431(x))<br />
  
    Eq(F_420(x), F_329(x) + F_421(x))<br />
  
    Eq(F_421(x), F_422(x)/F_22(x))<br />
  
    Eq(F_422(x), F_423(x))<br />
  
    Eq(F_423(x), F_424(x)/F_411(x))<br />
  
    Eq(F_424(x), F_425(x) - F_428(x))<br />
  
    Eq(F_425(x), F_426(x) + F_430(x))<br />
  
    Eq(F_426(x), -F_410(x) + F_427(x))<br />
  
    Eq(F_427(x), F_172(x) + F_428(x))<br />
  
    Eq(F_428(x), F_429(x))<br />
  
    Eq(F_429(x), F_22(x)*F_396(x))<br />
  
    Eq(F_430(x), F_22(x)*F_423(x))<br />
  
    Eq(F_431(x), F_432(x))<br />
  
    Eq(F_432(x), F_182(x) + F_433(x))<br />
  
    Eq(F_433(x), F_434(x))<br />
  
    Eq(F_434(x), F_435(x)*F_6(x))<br />
  
    Eq(F_435(x), F_436(x)/(F_118(x)*F_53(x)))<br />
  
    Eq(F_436(x), F_437(x))<br />
  
    Eq(F_437(x), F_438(x) - F_509(x))<br />
  
    Eq(F_438(x), F_439(x)/F_22(x))<br />
  
    Eq(F_439(x), F_440(x))<br />
  
    Eq(F_440(x), F_441(x) - F_491(x))<br />
  
    Eq(F_441(x), F_442(x)/F_22(x))<br />
  
    Eq(F_442(x), F_443(x))<br />
  
    Eq(F_443(x), F_444(x) - F_490(x))<br />
  
    Eq(F_444(x), F_445(x) - F_464(x))<br />
  
    Eq(F_445(x), F_446(x)/F_22(x))<br />
  
    Eq(F_446(x), F_447(x))<br />
  
    Eq(F_447(x), -F_2(x) + F_448(x))<br />
  
    Eq(F_448(x), F_449(x) - F_451(x))<br />
  
    Eq(F_449(x), F_450(x)/F_22(x))<br />
  
    Eq(F_450(x), F_2(x))<br />
  
    Eq(F_451(x), F_1(x) + F_452(x))<br />
  
    Eq(F_452(x), F_453(x))<br />
  
    Eq(F_453(x), F_22(x)*F_454(x))<br />
  
    Eq(F_454(x), F_451(x) + F_455(x))<br />
  
    Eq(F_455(x), F_115(x) + F_456(x))<br />
  
    Eq(F_456(x), F_376(x) + F_457(x) + F_460(x))<br />
  
    Eq(F_457(x), F_22(x)*F_458(x))<br />
  
    Eq(F_458(x), F_459(x))<br />
  
    Eq(F_459(x), F_452(x) + F_456(x))<br />
  
    Eq(F_460(x), F_22(x)*F_461(x))<br />
  
    Eq(F_461(x), F_462(x) + F_463(x))<br />
  
    Eq(F_462(x), F_54(x))<br />
  
    Eq(F_463(x), F_120(x))<br />
  
    Eq(F_464(x), F_465(x) - F_468(x))<br />
  
    Eq(F_465(x), F_466(x)/F_22(x))<br />
  
    Eq(F_466(x), F_467(x))<br />
  
    Eq(F_467(x), F_447(x) + F_452(x))<br />
  
    Eq(F_468(x), F_469(x) + F_470(x))<br />
  
    Eq(F_469(x), F_451(x)*F_58(x))<br />
  
    Eq(F_470(x), F_471(x))<br />
  
    Eq(F_471(x), F_22(x)*F_472(x))<br />
  
    Eq(F_472(x), F_473(x) + F_489(x))<br />
  
    Eq(F_473(x), F_474(x) + F_475(x))<br />
  
    Eq(F_474(x), F_131(x)*F_454(x))<br />
  
    Eq(F_475(x), F_476(x))<br />
  
    Eq(F_476(x), F_477(x) - F_481(x))<br />
  
    Eq(F_477(x), F_478(x)/F_22(x))<br />
  
    Eq(F_478(x), F_479(x))<br />
  
    Eq(F_479(x), F_22(x)*F_480(x))<br />
  
    Eq(F_480(x), F_481(x) + F_487(x))<br />
  
    Eq(F_481(x), F_482(x) + F_485(x))<br />
  
    Eq(F_482(x), F_131(x)*F_483(x))<br />
  
    Eq(F_483(x), F_454(x) + F_484(x))<br />
  
    Eq(F_484(x), F_118(x)*F_54(x))<br />
  
    Eq(F_485(x), F_486(x))<br />
  
    Eq(F_486(x), F_118(x)*F_277(x)*F_53(x))<br />
  
    Eq(F_487(x), F_488(x))<br />
  
    Eq(F_488(x), F_118(x)*F_252(x)*F_53(x))<br />
  
    Eq(F_489(x), F_486(x))<br />
  
    Eq(F_490(x), F_451(x)*F_59(x))<br />
  
    Eq(F_491(x), F_492(x))<br />
  
    Eq(F_492(x), F_22(x)*F_493(x))<br />
  
    Eq(F_493(x), F_494(x) + F_507(x))<br />
  
    Eq(F_494(x), F_495(x) + F_505(x))<br />
  
    Eq(F_495(x), F_496(x)*F_52(x))<br />
  
    Eq(F_496(x), F_497(x) + F_503(x))<br />
  
    Eq(F_497(x), F_454(x) + F_498(x))<br />
  
    Eq(F_498(x), F_22(x) + F_499(x))<br />
  
    Eq(F_499(x), F_376(x) + F_500(x) + F_501(x))<br />
  
    Eq(F_500(x), F_115(x)*F_22(x))<br />
  
    Eq(F_501(x), F_22(x)*F_502(x))<br />
  
    Eq(F_502(x), F_498(x))<br />
  
    Eq(F_503(x), F_504(x))<br />
  
    Eq(F_504(x), F_118(x)*F_22(x)*F_53(x))<br />
  
    Eq(F_505(x), F_506(x))<br />
  
    Eq(F_506(x), F_118(x)*F_53(x)*F_61(x))<br />
  
    Eq(F_507(x), F_508(x))<br />
  
    Eq(F_508(x), F_118(x)*F_202(x)*F_22(x)*F_53(x))<br />
  
    Eq(F_509(x), F_510(x) + F_511(x))<br />
  
    Eq(F_510(x), F_202(x)*F_454(x))<br />
  
    Eq(F_511(x), F_512(x))<br />
  
    Eq(F_512(x), F_513(x) - F_515(x))<br />
  
    Eq(F_513(x), F_514(x)/F_22(x))<br />
  
    Eq(F_514(x), F_440(x))<br />
  
    Eq(F_515(x), F_516(x) - F_518(x))<br />
  
    Eq(F_516(x), F_517(x)/F_22(x))<br />
  
    Eq(F_517(x), F_440(x))<br />
  
    Eq(F_518(x), F_519(x))<br />
  
    Eq(F_519(x), F_118(x)*F_334(x)*F_53(x))<br />
  
    Eq(F_520(x), F_22(x)*F_420(x))<br />
  
    Eq(F_521(x), F_522(x))<br />
  
    Eq(F_522(x), F_22(x)*F_523(x))<br />
  
    Eq(F_523(x), F_524(x)/F_22(x))<br />
  
    Eq(F_524(x), F_525(x))<br />
  
    Eq(F_525(x), F_526(x) - F_528(x))<br />
  
    Eq(F_526(x), F_527(x)/F_22(x))<br />
  
    Eq(F_527(x), F_296(x))<br />
  
    Eq(F_528(x), F_411(x)*F_529(x))<br />
  
    Eq(F_529(x), F_166(x) + F_530(x))<br />
  
    Eq(F_530(x), F_52(x)*F_6(x))<br />
  
    Eq(F_531(x), F_432(x) + F_532(x))<br />
  
    Eq(F_532(x), F_533(x) + F_535(x))<br />
  
    Eq(F_533(x), F_521(x) + F_534(x))<br />
  
    Eq(F_534(x), F_349(x)*F_411(x))<br />
  
    Eq(F_535(x), F_329(x)*F_411(x))<br />
  
    Eq(F_536(x), F_537(x))<br />
  
    Eq(F_537(x), F_22(x)*F_538(x))<br />
  
    Eq(F_538(x), -F_207(x) + F_338(x))<br />
  
    Eq(F_539(x), F_540(x))<br />
  
    Eq(F_540(x), F_11(x)*F_435(x))<br />
  
    Eq(F_541(x), F_542(x))<br />
  
    Eq(F_542(x), F_0(x)*F_435(x)*F_6(x))<br />
  
    Eq(F_543(x), F_544(x))<br />
  
    Eq(F_544(x), F_11(x)*F_22(x)*F_318(x)*F_58(x))<br />
  
    Eq(F_545(x), F_546(x) - F_551(x))<br />
  
    Eq(F_546(x), F_547(x) + F_549(x))<br />
  
    Eq(F_547(x), F_548(x))<br />
  
    Eq(F_548(x), F_22(x)*F_237(x))<br />
  
    Eq(F_549(x), F_550(x))<br />
  
    Eq(F_550(x), F_252(x)*F_6(x))<br />
  
    Eq(F_551(x), F_552(x)*F_6(x))<br />
  
    Eq(F_552(x), F_125(x) + F_58(x))<br />
  
    Eq(F_553(x), F_410(x))<br />
  
    Eq(F_554(x), F_555(x))<br />
  
    Eq(F_555(x), F_176(x) + F_556(x))<br />
  
    Eq(F_556(x), F_244(x)*F_6(x))<br />
  
    Eq(F_557(x), F_0(x)*F_361(x))<br />
  
    Eq(F_558(x), F_559(x))<br />
  
    Eq(F_559(x), F_16(x)*F_2(x)*F_22(x))<br />
  
    Eq(F_560(x), F_561(x) + F_577(x))<br />
  
    Eq(F_561(x), F_562(x) + F_563(x))<br />
  
    Eq(F_562(x), F_5(x) + F_66(x))<br />
  
    Eq(F_563(x), F_564(x))<br />
  
    Eq(F_564(x), F_22(x)*F_565(x))<br />
  
    Eq(F_565(x), F_566(x) + F_575(x))<br />
  
    Eq(F_566(x), F_567(x) + F_569(x))<br />
  
    Eq(F_567(x), F_568(x))<br />
  
    Eq(F_568(x), F_561(x)*F_58(x))<br />
  
    Eq(F_569(x), F_570(x))<br />
  
    Eq(F_570(x), F_125(x)*F_571(x))<br />
  
    Eq(F_571(x), F_572(x) + F_573(x))<br />
  
    Eq(F_572(x), F_0(x)*F_16(x))<br />
  
    Eq(F_573(x), F_574(x))<br />
  
    Eq(F_574(x), F_5(x)*F_58(x)**2)<br />
  
    Eq(F_575(x), F_576(x))<br />
  
    Eq(F_576(x), F_11(x)*F_125(x)*F_58(x)**2)<br />
  
    Eq(F_577(x), F_578(x))<br />
  
    Eq(F_578(x), F_22(x)*F_5(x)*F_58(x)**2)<br />
  
    Eq(F_579(x), F_580(x))<br />
  
    Eq(F_580(x), F_22(x)*F_581(x))<br />
  
    Eq(F_581(x), F_582(x) + F_583(x))<br />
  
    Eq(F_582(x), F_16(x)*F_2(x))<br />
  
    Eq(F_583(x), F_584(x))<br />
  
    Eq(F_584(x), F_11(x)*F_58(x)**2)<br />
  
    Eq(F_585(x), F_586(x))<br />
  
    Eq(F_586(x), F_22(x)*F_587(x))<br />
  
    Eq(F_587(x), F_411(x) + F_588(x))<br />
  
    Eq(F_588(x), F_22(x))<br />
  
    Eq(F_589(x), F_590(x))<br />
  
    Eq(F_590(x), F_22(x)*F_591(x))<br />
  
    Eq(F_591(x), F_592(x) + F_602(x))<br />
  
    Eq(F_592(x), F_593(x) + F_595(x))<br />
  
    Eq(F_593(x), F_589(x) + F_594(x))<br />
  
    Eq(F_594(x), F_10(x) + F_4(x))<br />
  
    Eq(F_595(x), F_596(x) - F_599(x))<br />
  
    Eq(F_596(x), F_597(x)/F_22(x))<br />
  
    Eq(F_597(x), F_598(x))<br />
  
    Eq(F_598(x), F_10(x) - F_214(x))<br />
  
    Eq(F_599(x), F_600(x) + F_601(x))<br />
  
    Eq(F_600(x), F_0(x)*F_48(x))<br />
  
    Eq(F_601(x), F_11(x)*F_129(x))<br />
  
    Eq(F_602(x), F_603(x) + F_607(x))<br />
  
    Eq(F_603(x), F_604(x) + F_606(x))<br />
  
    Eq(F_604(x), -F_605(x) + F_9(x))<br />
  
    Eq(F_605(x), F_4(x)*F_6(x))<br />
  
    Eq(F_606(x), F_37(x))<br />
  
    Eq(F_607(x), -F_606(x) + F_608(x))<br />
  
    Eq(F_608(x), F_609(x) + F_699(x))<br />
  
    Eq(F_609(x), F_610(x) - F_698(x))<br />
  
    Eq(F_610(x), F_611(x))<br />
  
    Eq(F_611(x), F_22(x)*F_612(x))<br />
  
    Eq(F_612(x), F_613(x) + F_695(x))<br />
  
    Eq(F_613(x), F_614(x)/(F_22(x)*F_58(x)))<br />
  
    Eq(F_614(x), F_615(x))<br />
  
    Eq(F_615(x), F_616(x) - F_691(x))<br />
  
    Eq(F_616(x), F_617(x) - F_648(x))<br />
  
    Eq(F_617(x), F_618(x) + F_643(x))<br />
  
    Eq(F_618(x), F_619(x) + F_637(x))<br />
  
    Eq(F_619(x), F_620(x) + F_625(x))<br />
  
    Eq(F_620(x), F_621(x) - F_623(x))<br />
  
    Eq(F_621(x), F_622(x)/F_22(x))<br />
  
    Eq(F_622(x), F_87(x))<br />
  
    Eq(F_623(x), F_624(x))<br />
  
    Eq(F_624(x), F_0(x)*F_107(x)*F_22(x))<br />
  
    Eq(F_625(x), F_626(x))<br />
  
    Eq(F_626(x), F_22(x)*F_58(x)*F_627(x))<br />
  
    Eq(F_627(x), F_628(x) - F_635(x))<br />
  
    Eq(F_628(x), F_629(x)/F_22(x))<br />
  
    Eq(F_629(x), F_630(x))<br />
  
    Eq(F_630(x), F_631(x) + F_633(x))<br />
  
    Eq(F_631(x), F_196(x) + F_632(x))<br />
  
    Eq(F_632(x), F_11(x)*F_58(x))<br />
  
    Eq(F_633(x), F_634(x))<br />
  
    Eq(F_634(x), F_0(x)*F_16(x)*F_22(x)*F_252(x))<br />
  
    Eq(F_635(x), F_636(x))<br />
  
    Eq(F_636(x), F_0(x)*F_107(x)*F_252(x))<br />
  
    Eq(F_637(x), F_638(x))<br />
  
    Eq(F_638(x), F_22(x)*F_639(x))<br />
  
    Eq(F_639(x), F_640(x) + F_641(x))<br />
  
    Eq(F_640(x), F_131(x)*F_72(x))<br />
  
    Eq(F_641(x), F_642(x))<br />
  
    Eq(F_642(x), F_277(x)*F_58(x)*F_84(x))<br />
  
    Eq(F_643(x), F_644(x))<br />
  
    Eq(F_644(x), F_645(x) + F_646(x))<br />
  
    Eq(F_645(x), F_0(x)*F_253(x))<br />
  
    Eq(F_646(x), F_647(x))<br />
  
    Eq(F_647(x), F_277(x)*F_5(x)*F_58(x))<br />
  
    Eq(F_648(x), F_649(x))<br />
  
    Eq(F_649(x), F_650(x) + F_658(x))<br />
  
    Eq(F_650(x), F_651(x) + F_657(x))<br />
  
    Eq(F_651(x), F_0(x)*F_652(x))<br />
  
    Eq(F_652(x), F_653(x) + F_654(x))<br />
  
    Eq(F_653(x), F_22(x)*F_36(x))<br />
  
    Eq(F_654(x), F_655(x))<br />
  
    Eq(F_655(x), F_22(x)*F_656(x))<br />
  
    Eq(F_656(x), F_143(x) + F_234(x))<br />
  
    Eq(F_657(x), F_124(x))<br />
  
    Eq(F_658(x), F_659(x) - F_687(x))<br />
  
    Eq(F_659(x), F_660(x))<br />
  
    Eq(F_660(x), F_661(x) - F_674(x))<br />
  
    Eq(F_661(x), F_662(x)/F_22(x))<br />
  
    Eq(F_662(x), F_663(x))<br />
  
    Eq(F_663(x), F_664(x) - F_666(x))<br />
  
    Eq(F_664(x), F_665(x))<br />
  
    Eq(F_665(x), F_22(x)*F_617(x))<br />
  
    Eq(F_666(x), F_667(x))<br />
  
    Eq(F_667(x), F_22(x)*F_668(x))<br />
  
    Eq(F_668(x), F_669(x) + F_671(x))<br />
  
    Eq(F_669(x), F_594(x) + F_670(x))<br />
  
    Eq(F_670(x), F_134(x))<br />
  
    Eq(F_671(x), F_672(x))<br />
  
    Eq(F_672(x), F_22(x)*F_673(x))<br />
  
    Eq(F_673(x), F_136(x) + F_632(x))<br />
  
    Eq(F_674(x), F_675(x) - F_677(x))<br />
  
    Eq(F_675(x), F_676(x)/F_22(x))<br />
  
    Eq(F_676(x), F_663(x))<br />
  
    Eq(F_677(x), F_678(x))<br />
  
    Eq(F_678(x), F_679(x) + F_683(x))<br />
  
    Eq(F_679(x), F_22(x)*F_680(x))<br />
  
    Eq(F_680(x), F_142(x) + F_681(x))<br />
  
    Eq(F_681(x), F_682(x))<br />
  
    Eq(F_682(x), F_11(x)*F_58(x)*F_59(x))<br />
  
    Eq(F_683(x), F_684(x) + F_685(x))<br />
  
    Eq(F_684(x), F_0(x)*F_261(x))<br />
  
    Eq(F_685(x), F_686(x))<br />
  
    Eq(F_686(x), F_11(x)*F_247(x)*F_58(x))<br />
  
    Eq(F_687(x), F_688(x) + F_689(x))<br />
  
    Eq(F_688(x), F_0(x)*F_654(x))<br />
  
    Eq(F_689(x), F_690(x))<br />
  
    Eq(F_690(x), F_11(x)*F_126(x)*F_58(x))<br />
  
    Eq(F_691(x), F_692(x) - F_694(x))<br />
  
    Eq(F_692(x), F_132(x) + F_693(x))<br />
  
    Eq(F_693(x), F_620(x) + F_69(x))<br />
  
    Eq(F_694(x), F_650(x))<br />
  
    Eq(F_695(x), F_696(x))<br />
  
    Eq(F_696(x), F_697(x)/(F_22(x)*F_58(x)))<br />
  
    Eq(F_697(x), F_658(x))<br />
  
    Eq(F_698(x), F_10(x)*F_58(x))<br />
  
    Eq(F_699(x), F_700(x))<br />
  
    Eq(F_700(x), F_194(x) + F_543(x))<br />
  
  Pack JSON:<br />{&#34;name&#34;: &#34;point_placements_req_corrob&#34;, &#34;initial_strats&#34;: [{&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorFactory&#34;, &#34;interleaving&#34;: null, &#34;unions&#34;: false, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;tracked&#34;: false}, {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;PointCorroborationFactory&#34;, &#34;ignore_parent&#34;: true}, {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementCorroborationFactory&#34;, &#34;ignore_parent&#34;: true}], &#34;inferral_strats&#34;: [{&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}, {&#34;class_module&#34;: &#34;tilings.strategies.obstruction_inferral&#34;, &#34;strategy_class&#34;: &#34;ObstructionTransitivityFactory&#34;}], &#34;ver_strats&#34;: [{&#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;strategy_class&#34;: &#34;BasicVerificationStrategy&#34;}, {&#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;strategy_class&#34;: &#34;InsertionEncodingVerificationStrategy&#34;, &#34;ignore_parent&#34;: false}, {&#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;strategy_class&#34;: &#34;OneByOneVerificationStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;basis&#34;: [[0, 2, 3, 1, 4], [0, 2, 3, 4, 1], [0, 2, 4, 3, 1], [0, 3, 2, 1, 4], [0, 3, 2, 4, 1], [0, 3, 4, 2, 1], [0, 4, 2, 3, 1], [0, 4, 3, 2, 1], [3, 0, 2, 1, 4], [3, 0, 2, 4, 1], [3, 0, 4, 2, 1]], &#34;symmetry&#34;: false}, {&#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;strategy_class&#34;: &#34;LocallyFactorableVerificationStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;basis&#34;: [[0, 2, 3, 1, 4], [0, 2, 3, 4, 1], [0, 2, 4, 3, 1], [0, 3, 2, 1, 4], [0, 3, 2, 4, 1], [0, 3, 4, 2, 1], [0, 4, 2, 3, 1], [0, 4, 3, 2, 1], [3, 0, 2, 1, 4], [3, 0, 2, 4, 1], [3, 0, 4, 2, 1]], &#34;symmetry&#34;: false}], &#34;expansion_strats&#34;: [[{&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;CellInsertionFactory&#34;, &#34;ignore_parent&#34;: false, &#34;maxreqlen&#34;: 1, &#34;extra_basis&#34;: [], &#34;one_cell_only&#34;: false}, {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;PatternPlacementFactory&#34;, &#34;partial&#34;: false, &#34;ignore_parent&#34;: false, &#34;dirs&#34;: [0, 1, 2, 3], &#34;point_only&#34;: false}]], &#34;symmetries&#34;: [], &#34;iterative&#34;: false}<br />
  Specification JSON:<br />{&#34;root&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, 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0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, 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[1, 2], [1, 1], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 3], [2, 0], [2, 2], [2, 3]], [[1, 1]]]}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: 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0, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]}}, &#34;idx&#34;: 1}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], 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0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 1], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 2], [2, 0], [2, 2]], [[1, 1]]]}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: 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3], [2, 2], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [2, 0], [2, 2], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[2, 3], [2, 0], [2, 2], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [2, 0], [2, 2], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 2], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [2, 0], [2, 3], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 2], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0, 3], 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4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[1, 2], [1, 0], [1, 1], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 1], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 3], [2, 0], [2, 2], [2, 3]], [[1, 1]]]}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], 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1]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[1, 2], [1, 1], [1, 1], [1, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 2], [1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 2], [1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[1, 0], [1, 1], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[1, 0], [1, 2], [1, 1], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 1], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 1], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[1, 2], [1, 0], [1, 1], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 1], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 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[1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, 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&#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], 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&#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2]], [[1, 0], [1, 1]]]}}, &#34;idx&#34;: 1}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], 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{&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 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[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: 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{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 2], [2, 0], [2, 4], [3, 3]], [[1, 1]]]}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 5], [2, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 5], [2, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 5], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 5], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 5], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 5], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 5], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 5], [2, 0], [2, 2], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 4], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 1], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: 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0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, 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0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]}}, &#34;idx&#34;: 1}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, 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{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 1], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], 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[[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 3], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], 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&#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [1, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 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[1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: 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[1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}}, &#34;idx&#34;: 1}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: 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[[1, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1]], [[1, 0], [1, 2], [2, 0], [2, 2]]]}}, &#34;idx&#34;: 1}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], 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1], [1, 0], [1, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], 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{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 3], [1, 0], [1, 1], [3, 0], [3, 2]], [[2, 4]]]}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, 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[3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], 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{&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 3], [1, 0], [3, 0]], [[2, 2]]]}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, 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{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], 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[[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 4], [0, 4], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 4], [0, 4], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 4], [0, 1], [0, 1], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 1], [0, 4], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], 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[1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 4]], [[1, 1]], [[2, 0], [2, 2], [2, 3], [3, 0], [3, 2]]]}}, &#34;idx&#34;: 2}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 2], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]}}, &#34;idx&#34;: 1}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 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[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: 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[[0, 1], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [2, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 1], [2, 0], [2, 1], [3, 0], [3, 2]], [[1, 3]]]}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, 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0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 3], [1, 0], [3, 0], [4, 4]], [[2, 2]]]}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}]}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]}}, &#34;idx&#34;: 1}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], 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{&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, 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[[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [2, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], 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[[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 1], [0, 5], [1, 0], [1, 2], [1, 4], [3, 0]], [[2, 3]]]}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, 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[0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1, 3], &#34;pos&#34;: [[0, 4], [0, 1], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 4], [2, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 4], [0, 1], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 4], [0, 4], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 4], [0, 4], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 4], [0, 1], [0, 1], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 1], [0, 4], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 1], [0, 4], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 1], [0, 1], [0, 1], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 1], [0, 4], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 4], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 1], [0, 5], [1, 0], [1, 3], [3, 0], [3, 2]], [[2, 4]]]}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, 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{&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1, 3], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], 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3], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: 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[{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 3], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5], [1, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5], [1, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1, 3], &#34;pos&#34;: [[0, 5], [0, 2], [0, 5], [0, 5]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 5], [0, 2], [0, 5], [0, 5]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 5], [0, 2], [0, 5], [1, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 5], [0, 2], [0, 5]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 5], [0, 5], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 5], [0, 5], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 5], [0, 2], [0, 2], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 2], [0, 5], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 2], [0, 5], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 2], [0, 2], [0, 2], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 2], [0, 2], [0, 5], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 2], [0, 5], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 3], [0, 6], [2, 0], [2, 2], [2, 4], [2, 5]], [[1, 1]]]}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 3], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], 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{&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5], [1, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1, 3], &#34;pos&#34;: [[0, 5], [0, 2], [0, 5], [0, 5]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 5], [0, 2], [0, 5], [0, 5]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 5], [0, 2], [0, 5], [1, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 5], [0, 2], [0, 5]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 5], [0, 5], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 5], [0, 5], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 5], [0, 2], [0, 2], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 2], [0, 5], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 2], [0, 5], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 2], [0, 2], [0, 2], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 2], [0, 2], [0, 5], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 2], [0, 5], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 3], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 1], [1, 1]]}, 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[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}]}}, &#34;idx&#34;: 1}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, 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&#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [0, 4]], [[1, 0], [1, 1], [1, 3]]]}}, &#34;idx&#34;: 1}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], 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0], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 4], [0, 1], [0, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [3, 1]]}, 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4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 2], [0, 4], [1, 0], [3, 0], [3, 1]], [[2, 3]]]}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: 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2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 2], [1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 2], [1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 3], [2, 0], [2, 2], [2, 3], [3, 3]], [[1, 1]]]}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], 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2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 2], [1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 2], [1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0, 2], 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2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 2], [1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}}, &#34;idx&#34;: 1}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, 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[]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [1, 0], [2, 2], [2, 3], [3, 0]], [[4, 1]], [[5, 4]]]}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], 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{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: 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{&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]}}, &#34;idx&#34;: 1}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [2, 3], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 3], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 2], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 3], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 2], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1]], [[1, 0], [1, 2], [2, 0], [2, 2], [2, 3]]]}}, &#34;idx&#34;: 1}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], 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3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 5], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 5], [2, 2], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 5], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 7], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 7], [2, 2], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 7], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [3, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [3, 4], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 4], [3, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [2, 0], [2, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [2, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [3, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 6], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 6], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 6], [2, 0], [2, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 6], [2, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 2], [3, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 5], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 5], [2, 0], [2, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 5], [2, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 5], [3, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 7], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 7], [2, 0], [2, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 7], [2, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[3, 2], [3, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[3, 4], [3, 0], [3, 2], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 6], [1, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 5], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 5], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 6], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 6], [1, 6]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 6], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 5], [1, 6]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, 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1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 6], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 6], [1, 1], [2, 0]]}, 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1], &#34;pos&#34;: [[0, 5], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 5], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 5], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 4], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 6], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 6], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 6], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 1], [2, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 3], [0, 6], [2, 0], [2, 2], [2, 5], [2, 7], [3, 0], [3, 2], [3, 4]], [[1, 1]]]}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 6]]}, {&#34;patt&#34;: [0, 1], 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4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 3], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 3], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 4], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 4], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 4], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [2, 1], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}]}}, &#34;idx&#34;: 1}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 6], [1, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 5], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 5], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 6], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 6], [1, 6]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 6], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 5], [1, 6]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 4], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 4], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 6], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 6], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [2, 3], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 3], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 5], [0, 2], [0, 5]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 5], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 5], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 5], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 6], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 6], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 6], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 5], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 4], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 6], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 6], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 6], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 6], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 6], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 3], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 5], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 5], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 5], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 5], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 4], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 6], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 6], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 6], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 1], [2, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 5], [1, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 5], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 5], [1, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 4], [1, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 3], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 3], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 5], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 5], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, 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&#34;pos&#34;: [[0, 5], [4, 4], [4, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 4], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 4], [4, 4], [4, 2]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[4, 4], [4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[4, 4], [4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[4, 4], [4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[4, 4], [4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[4, 4], [4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[4, 4], [4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 5], [4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[4, 4], [4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 5], [4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[4, 4], [4, 4], [4, 4], [4, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[3, 2], [3, 2], [3, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[3, 3], [3, 2], [3, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 3], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [3, 3], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 4], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 4], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 2], [0, 5], [2, 0], [3, 1], [4, 2], [4, 4]], [[1, 3]]]}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[3, 2], [3, 2], [3, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[3, 3], [3, 2], [3, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 3], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [3, 3], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 4], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 4], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[3, 2], [3, 2], [3, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[3, 3], [3, 2], [3, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 3], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [3, 3], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 4], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 4], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]}}, &#34;idx&#34;: 1}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: 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[0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: 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[[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 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0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 2], [4, 0], [4, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [4, 2], [4, 2], [4, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[4, 1], [4, 2], [4, 2], [4, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [4, 2], [4, 2], [4, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[4, 1], [4, 2], [4, 2], [4, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[4, 2], [4, 1], [4, 2], [4, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [1, 0], [3, 1], [4, 0], [5, 0], [5, 1], [5, 3]], [[2, 2]]]}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [4, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 4], [4, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 5], [3, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 5], [4, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 5], [0, 1], [0, 5]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 4], [0, 1], [0, 4]]}, {&#34;patt&#34;: [0, 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&#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 5], [1, 0], [3, 0], [3, 1], [3, 4], [4, 0], [4, 3]], [[2, 2]]]}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, 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1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 1], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [3, 1], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [2, 0], [2, 1], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [2, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [3, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [2, 0], [2, 1], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [2, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [3, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 1], [3, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 1], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 3], [3, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[3, 1], [3, 0], [3, 1], [3, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 5], [1, 3], [3, 0], [3, 2], [3, 4], [4, 0], [4, 2]], [[2, 1]], [[5, 6]]]}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 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2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [3, 1], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [2, 0], [2, 1], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [2, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [3, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [2, 0], [2, 1], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [2, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [3, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 1], [3, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[3, 1], [3, 0], [3, 1], [3, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 3], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 3], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [2, 1], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 5], [2, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 5], [2, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 4], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 6], [0, 4], [0, 6]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [1, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], 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6]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 4], [0, 2], [0, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 4], [0, 6], [1, 3], [2, 1], [2, 3], [2, 5], [3, 1]], [[4, 2]], [[5, 0]]]}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, 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[0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 3], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 3], [0, 4], [1, 1], [2, 1], [2, 3], [2, 5], [3, 1]], [[4, 2]], [[5, 0]]]}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, 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[0, 1], &#34;pos&#34;: [[2, 1], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 5], [2, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 5], [2, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 6]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [2, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 6], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 2, 1], 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{&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 5], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 5], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 5], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], 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5], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 5], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 5], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 5], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 5], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [2, 0], [2, 1], [2, 0], [3, 4]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 5], [1, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 5], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 5], [1, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 5], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 3], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 3], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 5], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 5], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 5], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 5], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 5], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 5], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 5], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 5], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 5], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 5], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 5], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 5], [1, 0], [2, 1], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 5], [1, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 5], [1, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 5], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [1, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [3, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 5], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 5], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 5], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 5], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 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{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: 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2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [2, 1], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}]}}, &#34;idx&#34;: 1}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 6]]}, {&#34;patt&#34;: [0], 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{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[3, 3], [3, 3], [3, 5]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[3, 5], [3, 3], [3, 5]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: 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5]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 6], [3, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[3, 5], [3, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 6], [3, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[3, 5], [3, 5], [3, 5], [3, 5]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 5], [0, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 5], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 5], [0, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 4]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 4], [2, 3], [2, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 4], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 5], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 5], [2, 4], [2, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 5], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 5], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 1], [0, 3], [0, 6], [2, 0], [2, 2], [3, 3], [3, 5]], [[1, 4]]]}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [3, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [3, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[3, 3], [3, 3], [3, 5]]}, {&#34;patt&#34;: [1, 0, 2], 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{&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[3, 5], [3, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[3, 5], [3, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 5], [3, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[3, 5], [3, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[3, 5], [3, 5], [3, 5], [3, 5]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 4]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 4], [2, 3], [2, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 4], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 1], [0, 3], [2, 0], [2, 2], [2, 3], [3, 3], [3, 5]], [[1, 4]]]}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [3, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 6], [2, 6]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 6], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 6], [2, 6]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[3, 3], [3, 3], [3, 5]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[3, 5], [3, 3], [3, 5]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 5], [3, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 5], [3, 5], [3, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 6], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 6], [3, 5], [3, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 5], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 5], [3, 5], [3, 3]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[3, 5], [3, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 5], [3, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[3, 5], [3, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[3, 5], [3, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[3, 5], [3, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 5], [3, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 6], [3, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[3, 5], [3, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 6], [3, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[3, 5], [3, 5], [3, 5], [3, 5]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 5], [1, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 5], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 5], [1, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 4]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 4], [2, 3], [2, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 4], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 5], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 5], [2, 4], [2, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 5], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 5], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 1], [2, 0], [2, 2], [2, 3], [2, 6], [3, 3], [3, 5]], [[1, 4]]]}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 5], [0, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 5], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 5], [0, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 4]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 4], [2, 3], [2, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 4], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 5], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 5], [2, 4], [2, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 5], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 5], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 4]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 4], [2, 3], [2, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 4], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 5], [0, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 5], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 5], [0, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}]}}, &#34;idx&#34;: 1}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 4]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 4], [2, 3], [2, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 4], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 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2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], 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&#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [2, 3], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 3], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 2], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 3], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1]], [[1, 0], [1, 2], [2, 0], [2, 2], [2, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: 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[1, 0], [1, 1], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], 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2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 1], [0, 2], [0, 6], [1, 5], [2, 3]], [[3, 4]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, 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&#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], 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&#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], 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[[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 4], [0, 4], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 4], [0, 4], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 4], [0, 1], [0, 1], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 1], [0, 4], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 1], [0, 4], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 1], [0, 1], [0, 1], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 1], [0, 4], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 4], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 1], [0, 5], [1, 0], [1, 2], [1, 4], [3, 0]], [[2, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: 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{&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4], [1, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1, 3], &#34;pos&#34;: [[0, 4], [0, 1], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 0, 3, 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1], [0, 1], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 1], [0, 4], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 1], [0, 4], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 1], [0, 1], [0, 1], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 1], [0, 4], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 4], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, 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{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1, 3], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 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[[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], 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&#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 1], [0, 5], [1, 4], [2, 2]], [[3, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, 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3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 3], [1, 0]], [[2, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1, 3], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1, 3], &#34;pos&#34;: 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1], [0, 3], [1, 0]], [[2, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], 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[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2]], [[1, 0], [1, 1]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 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1], &#34;pos&#34;: [[0, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: 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&#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 5], [1, 0], [3, 0], [3, 2], [3, 4]], [[2, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], 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&#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 4], [0, 4], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 4], [0, 1], [0, 1], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 1], [0, 4], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 1], [0, 4], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 1], [0, 1], [0, 1], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 1], [0, 4], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 4], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], 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{&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 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{&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 3]], [[1, 0], [2, 0], [2, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], 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[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 3]], [[1, 0], [2, 0], [2, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], 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{&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 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{&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: 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0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [1, 0], [2, 0]], [[3, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 2], [2, 0], [2, 4], [3, 3]], [[1, 1]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 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[0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [1, 0]], [[2, 1]]]}}, {&#34;class_module&#34;: 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[[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1, 3], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [2, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 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[[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [2, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1], [1, 1], [2, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 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&#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 1], [1, 0], [1, 1]], [[2, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 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{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [1, 1], [2, 0], [3, 0]], [[4, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 1], [1, 0]], [[2, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 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[0, 2], [0, 5], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 2], [0, 5], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 2], [0, 2], [0, 2], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 2], [0, 2], [0, 5], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 2], [0, 5], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 1], [0, 2], [0, 6], [1, 5], [2, 3]], [[3, 4]]]}}, 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{&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 4], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 4], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [0, 2], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [0, 4], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 4], [0, 2], [0, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [0, 4], [1, 0], [1, 1]], [[2, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], 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1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [0, 3]], [[1, 1]], [[2, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: 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&#34;pos&#34;: [[0, 0], [2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 0, 1, 3], &#34;pos&#34;: [[0, 4], [0, 2], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4], [0, 2], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4], [0, 4], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 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{&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [0, 2], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [0, 4], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1, 3], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [0, 4]], [[1, 1]], [[2, 0], [2, 3], [3, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 3], [1, 0], [2, 0]], [[3, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 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&#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, 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{&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: 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&#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1, 3], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 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[0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1, 3], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 3]]}, 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[[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, 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{&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, 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&#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1, 3], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2]], [[1, 0], [2, 0], [2, 1], [3, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 5], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 5], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 5], [2, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 5], [0, 0], [0, 5]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5], [2, 4]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5], [2, 4]]}, {&#34;patt&#34;: [2, 0, 1, 3], &#34;pos&#34;: [[0, 5], [0, 2], [0, 5], [0, 5]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 5], [0, 2], [0, 5], [0, 5]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 5], [0, 2], [0, 5], [2, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 5], [0, 2], [0, 5]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 5], [0, 5], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 5], [0, 5], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 5], [0, 2], [0, 2], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 2], [0, 5], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 2], [0, 5], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 2], [0, 2], [0, 2], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 2], [0, 2], [0, 5], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 2], [0, 5], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 4], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 4], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 4], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 4], [0, 0], [0, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4], [1, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1, 3], &#34;pos&#34;: [[0, 4], [0, 1], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 4], [1, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 4], [0, 1], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 4], [0, 4], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 4], [0, 4], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 4], [0, 1], [0, 1], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 1], [0, 4], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 1], [0, 4], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 1], [0, 1], [0, 1], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 1], [0, 4], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 4], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 2], [0, 5], [2, 0], [2, 3], [2, 4]], [[1, 1]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 3]]}, {&#34;patt&#34;: [0, 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[0, 2], [0, 4], [0, 4], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 4], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 4], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [0, 2], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [0, 4], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]}}, 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3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], 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4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0], &#34;pos&#34;: 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0], [1, 1], [3, 0], [3, 2]], [[2, 4]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 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{&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2]], [[1, 0], [2, 0], [2, 1]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [2, 1], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 2], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 2], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1], 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&#34;pos&#34;: [[0, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [3, 3], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 4], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 4], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 2], [2, 1], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [2, 2], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 3], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 3], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 1], [0, 4], [2, 0], [3, 1], [3, 3]], [[1, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 2], [2, 1], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [2, 2], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 3], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 3], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 2], [2, 1], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 2], [2, 1], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 2], [2, 1], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 2], [2, 1], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], 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&#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [0, 4], [1, 1], [3, 1]], [[2, 3]], [[4, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[5, 2], [5, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[5, 2], [5, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[6, 0], [6, 0], [6, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 3], [1, 1], [2, 3], [3, 1], [4, 1]], [[5, 2]], [[6, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[5, 5], [5, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[5, 0], [5, 5], [5, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: 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1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], 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[0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [1, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 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&#34;partition&#34;: [[[0, 0], [0, 2], [0, 4], [2, 3]], [[1, 1]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: 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&#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 2]], [[1, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1, 3], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 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&#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1, 3], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 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&#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], 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{&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [1, 0], 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{&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 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0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [0, 3]], [[1, 1]], [[2, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], 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&#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 2], [1, 0], [1, 2]], [[2, 1]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 1]]}, 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&#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 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{&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], 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0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 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{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [3, 3], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 3], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [3, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [3, 2], [3, 3], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 3], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [3, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [3, 3], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 3], [3, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[3, 2], [3, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[3, 3], [3, 0], [3, 2], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 2], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 1], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [2, 0], [3, 0], [3, 2], [3, 3]], [[1, 1]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 4], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 4], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [2, 3], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 3], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 4], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 3], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: 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0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: 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[3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 1], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]}}, 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{&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1, 3], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1, 3], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 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{&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 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{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 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{&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 2], [0, 3], [1, 0], [1, 2]], [[2, 1]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, 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0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 5], [1, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 5], [1, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 5], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 4], [1, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 5], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 5], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [2, 3], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 3], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 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4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 5], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 5], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 5], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 1], [2, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [1, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 4], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 4], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 4], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [2, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [2, 3], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 3], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 3], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 1], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 5], [2, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 1], [4, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 6], [0, 6]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 6], [2, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 6], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 5], [2, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 5], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[4, 2], [4, 2], [4, 4]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[4, 4], [4, 2], [4, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 2], [4, 4], [4, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 4], [4, 4], [4, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 6], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 6], [4, 4], [4, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 5], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 5], [4, 4], [4, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 4], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 4], [4, 4], [4, 2]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[4, 4], [4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[4, 4], [4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[4, 4], [4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[4, 4], [4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[4, 4], [4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[4, 4], [4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 6], [4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 5], [4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[4, 4], [4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 6], [4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 5], [4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[4, 4], [4, 4], [4, 4], [4, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 5], [0, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 5], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 5], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[3, 2], [3, 2], [3, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[3, 3], [3, 2], [3, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 3], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 5], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 5], [3, 3], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [3, 3], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 5], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 4], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 5], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 4], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 6], [2, 0], [2, 5], [3, 1], [4, 2], [4, 4]], [[1, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: 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{&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 3], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 5], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 5], [3, 3], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [3, 3], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 5], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 4], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 5], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 4], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[3, 2], [3, 2], [3, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[3, 3], [3, 2], [3, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 3], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [3, 3], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 4], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 4], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 3], [1, 0], [3, 0]], [[2, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[3, 2], [3, 2], [3, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[3, 3], [3, 2], [3, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 3], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [3, 3], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 4], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 4], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[3, 2], [3, 2], [3, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[3, 3], [3, 2], [3, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 3], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, 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&#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: 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1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 2]], [[1, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: 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1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: 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{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 5], [4, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 5], [4, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [1, 1], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 1], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 5]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 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[1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 4], [1, 1], [1, 3]], [[2, 2]], [[3, 0], [4, 0], [4, 5]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 5], [3, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 5], [3, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [1, 1], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 1], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 4], [1, 1], [1, 3]], [[2, 2]], [[3, 0], [3, 5]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: 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[3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [4, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [1, 0], [3, 1], [4, 0], [5, 0]], [[2, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1]], [[1, 0], [2, 0], [2, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 4], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 3], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [1, 1], [2, 1]], [[3, 0], [4, 0], [4, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 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{&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: 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0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], 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[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 5]], [[1, 1], [1, 3]], [[2, 2]], [[3, 0], [4, 0], [4, 4]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 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{&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 3]], [[1, 1], [2, 1]], [[3, 0], [4, 0], [4, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1, 3], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1, 3], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 2]], [[1, 0], [2, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 1], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 1], [3, 3], [3, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 1], [3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 1], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 1], [3, 4], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 1], [3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 4], [3, 1], [3, 4]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[3, 4], [3, 1], [3, 4]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [3, 1], [3, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 3], [3, 1], [3, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 3], [0, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [3, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [3, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: 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[0, 2], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2], [2, 2]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 3], [0, 4], [1, 1], [3, 1], [3, 3], [3, 4]], [[2, 2]], [[4, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: 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&#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2], [2, 2]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, 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{&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [2, 1]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 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{&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, 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0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [1, 5], [1, 5]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 3], [0, 6], [1, 3], [1, 6], [3, 0], [3, 2], [3, 4], [3, 5]], [[2, 1]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, 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{&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [1, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [0, 2], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [0, 2], [1, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [1, 2], [1, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [1, 4]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [0, 4], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [0, 4], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [1, 4], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [1, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 4], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 4], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [1, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [1, 4], [1, 4]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 5], [1, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 5], [1, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 5], [1, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 5], [1, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 5], [0, 2], [0, 5]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], 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{&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 2], [0, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [1, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 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&#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [0, 4], [1, 2], [1, 4]], [[2, 0], [2, 1], [2, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 5], [1, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 5], [0, 2], [0, 5]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 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5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [1, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [0, 5], [1, 2], [1, 4]], [[2, 0], [2, 1], [2, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [1, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 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{&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 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[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 4], [0, 2], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [0, 4]], [[1, 1]], [[2, 0], [2, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[7, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[7, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[7, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: 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{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [4, 1], [6, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [6, 1], [6, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [6, 3], [6, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [6, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [5, 0], [6, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [6, 0], [6, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 1], [4, 1], [6, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 1], [6, 1], [6, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[5, 0], [5, 0], [6, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[5, 0], [6, 0], [6, 0]]}, {&#34;patt&#34;: [0, 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1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[5, 2], [5, 1], [5, 2], [5, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 4], [1, 1], [2, 0], [4, 1], [5, 0], [6, 0], [6, 1], [6, 3]], [[3, 2]], [[7, 5]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], 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{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 0]]}, 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[]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 4], [2, 0], [2, 2], [3, 0], [3, 2], [3, 3]], [[1, 1]], [[4, 5]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], 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[1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [2, 0], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [1, 1], [2, 0], [2, 1]], [[3, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 2], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 1], [2, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [2, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], 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[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, 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[]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 2], [0, 3], [1, 0], [1, 2]], [[2, 1]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 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&#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [4, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 5], [4, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[5, 2], [5, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[6, 4], [6, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 5], [4, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 5], [6, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[5, 2], [5, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[6, 4], [6, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[6, 0], [6, 0], [6, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 4]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [4, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 4], [4, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[5, 3], [5, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 4], [4, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 4], [5, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[5, 3], [5, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 3]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 3], [1, 1], [2, 3], [3, 1], [4, 1], [4, 5], [6, 0], [6, 4]], [[5, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [4, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 4], [4, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[5, 3], [5, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 4], [4, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 4], [5, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[5, 3], [5, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[5, 3], [5, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[5, 3], [5, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 3]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 4]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [1, 2]], [[2, 1], [3, 1], [3, 3]], [[4, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[5, 3], [5, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[5, 3], [5, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: 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[[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: 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&#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: 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&#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 5], [3, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[5, 4], [5, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 5], [3, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 5], [5, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[5, 4], [5, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 4]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 3], [1, 3]], [[2, 1], [3, 1], [3, 5], [5, 0], [5, 4]], [[4, 2]]]}}, {&#34;class_module&#34;: 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[0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 5], [2, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 5], [0, 3], [0, 5]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 3], [0, 5], [1, 1], [2, 1], [2, 3], [2, 4], [3, 1]], [[4, 2]], [[5, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1, 2], 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[0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 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{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [4, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 5], [4, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 5], [4, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [0, 4], [1, 1], [3, 1], [4, 0], [4, 5], [5, 0]], [[2, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [0, 3], [1, 1], [2, 1]], [[3, 0], [4, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], 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&#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 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{&#34;patt&#34;: [2, 0, 1, 3], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [2, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [2, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: 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{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 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[[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [2, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: 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{&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 5], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 5], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 5], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 5], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 5], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 5], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [2, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 5], [3, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 5], [3, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 3], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 3], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 4], [3, 4]]}, 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0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 1], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 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0, 2, 1], &#34;pos&#34;: [[1, 2], [3, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 1], [3, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 1], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 3], [3, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[3, 1], [3, 0], [3, 1], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 5]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 3], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 3], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [2, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [2, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 3], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [3, 1], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 1], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [3, 1], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [2, 0], [2, 1], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [2, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [3, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [2, 0], [2, 1], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [2, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [3, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 1], [3, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 1], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 3], [3, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[3, 1], [3, 0], [3, 1], [3, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 4], [1, 2], [2, 0], [2, 1], [2, 3], [3, 0], [3, 1]], [[4, 5]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 4], [4, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 4], [4, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [2, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [2, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [3, 1], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [3, 1], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], 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0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [2, 0], [2, 1], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [2, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [3, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 1], [3, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[3, 1], [3, 0], [3, 1], [3, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: 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[2, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [1, 1], [1, 1]]}, 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4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: 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1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [1, 1]], [[2, 0], [3, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 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[0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1, 3], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: 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2], [0, 2], [0, 2], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 2], [0, 2], [0, 5], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 2], [0, 5], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 3], [0, 6], [1, 0], [3, 0], [3, 1], [3, 4], [3, 5], [4, 0]], [[2, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], 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{&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1, 3], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 0, 1, 3], &#34;pos&#34;: [[0, 4], [0, 2], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4], [0, 2], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 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[0, 2], [0, 4], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [0, 2], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [0, 4], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}]], 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{&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [0, 4]], [[1, 1]], [[2, 0]], [[3, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [1, 1], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 3], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 3], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1, 3], &#34;pos&#34;: [[0, 5], [0, 3], [0, 5], [0, 5]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 5], [0, 3], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 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3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 3], [0, 5], [1, 1], [1, 2]], [[2, 0], [2, 4]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], 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&#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [1, 0], [3, 0]], [[2, 1]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 4], [0, 2], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], 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&#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [0, 4]], [[1, 1]], [[2, 0], [3, 0], [3, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: 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2], [0, 4], [2, 2], [2, 4], [2, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [2, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [2, 4], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [2, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [0, 2], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [0, 2], [2, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [2, 2], [2, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [2, 4]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [0, 4], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [0, 4], [2, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [2, 4], [2, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [2, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 4], [0, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 4], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [2, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [2, 4], [2, 4]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 3], [0, 5], [1, 1], [3, 1], [3, 3], [3, 5], [4, 0], [4, 4], [5, 0]], [[2, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], 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{&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], 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[0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [2, 1], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [2, 2], [2, 1], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, 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&#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2], [2, 2]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [0, 3], [1, 1], [2, 1], [2, 2], [2, 3]], [[3, 0], [4, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 5], [1, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 5], [0, 2], [0, 5]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [1, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [0, 5], [1, 2], [1, 4]], [[2, 1]], [[3, 0], [3, 3], [4, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], 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{&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, 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0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 4], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 1], [2, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 7]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], 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5], [3, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 4], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 4], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [2, 3], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 3], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 4], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 3], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 4], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 1], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 4], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 4], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [2, 3], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 3], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 4], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 3], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 4], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 1], [2, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [1, 0], [1, 1], [1, 4], [2, 0], [2, 1], [2, 3]], [[3, 5]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 5], [1, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 5], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 5], [1, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 5], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 4], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 4], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 5], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [2, 3], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 3], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 5], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 5], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 4], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 5], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 5], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 5], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 3], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 4], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 1], [2, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 4], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 4], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [2, 3], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 3], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], 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{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 4], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 3], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 4], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 1], [2, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 3], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 3], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 4], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 4], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [2, 0], [2, 1], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 5], [1, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 5], [3, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [3, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 6], [3, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 4], [4, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 5], [1, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 5], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 5], [4, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 6], [3, 6]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 6], [4, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 4], [4, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 1], [2, 1], [3, 6]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [3, 6]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 5], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [2, 3], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 3], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 5], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 5], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[1, 0], [1, 1], [2, 0], [3, 6]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[1, 0], [2, 1], [2, 0], [3, 6]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [3, 6]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 5], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 5], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 5], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 3], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 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[[2, 3], [2, 0], [2, 1], [2, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 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1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 0], [2, 1], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 6], [1, 6]]}, 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1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 3], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], 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&#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [3, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 5], [3, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 4], [4, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], 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{&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[1, 0], [1, 1], [2, 0], [3, 4]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[1, 0], [2, 1], [2, 0], [3, 4]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [3, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: 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0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [2, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [2, 3], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 3], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 3], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 1], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 4], [4, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 1], [2, 1], [3, 4]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [3, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[1, 0], [1, 1], [2, 0], [3, 4]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[1, 0], [2, 1], [2, 0], [3, 4]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [3, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [2, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [2, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [2, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [2, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [1, 0], [1, 1], [2, 0], [2, 1]], [[3, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 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&#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, 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2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[3, 2], [3, 2], [3, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[3, 3], [3, 2], [3, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 3], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 5], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 5], [3, 3], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [3, 3], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 5], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 4], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 5], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 4], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 6], [1, 2], [3, 0], [3, 1], [3, 2], [3, 5], [4, 2], [4, 4]], [[2, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 5], [0, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 5], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 5], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 5], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[3, 2], [3, 2], [3, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[3, 3], [3, 2], [3, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 3], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 5], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 5], [3, 3], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [3, 3], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 5], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 4], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 5], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 4], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 5], [0, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 5], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 5], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[3, 2], [3, 2], [3, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[3, 3], [3, 2], [3, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 3], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 5], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 5], [3, 3], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [3, 3], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 5], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 4], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 5], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 4], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 5], [0, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 5], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 5], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[3, 2], [3, 2], [3, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[3, 3], [3, 2], [3, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 3], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 5], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 5], [3, 3], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [3, 3], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 5], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 4], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 5], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 4], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[3, 2], [3, 2], [3, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[3, 3], [3, 2], [3, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 3], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [3, 3], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 4], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 4], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[3, 2], [3, 2], [3, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[3, 3], [3, 2], [3, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 3], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [3, 3], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 4], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 4], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, 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[0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 1], [1, 0], [1, 2]], [[2, 3], [2, 4]]]}}, {&#34;class_module&#34;: 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{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 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[[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 3]], [[1, 0], [1, 1], [2, 0], [2, 2], [2, 4]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], 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0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 3]], [[1, 0], [1, 1], [1, 4], [2, 0], [2, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 4], [0, 2], [0, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 3], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 3], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 2], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 4], [0, 2], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 2], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 1], [2, 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[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 2], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [1, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 3]], [[1, 0], [1, 1], [1, 2], [2, 0], [2, 1]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, 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&#34;pos&#34;: [[0, 3], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 5], [0, 3], [0, 5]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: 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1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: 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&#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: 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{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, 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2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [2, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 3]], [[1, 0], [1, 1], [2, 0], [2, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [2, 0], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2]], [[1, 1], [2, 1]], [[3, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [5, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [5, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 0], [5, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[5, 0], [5, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[4, 0], [5, 2], [5, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[5, 0], [5, 2], [5, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [5, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [3, 1], [5, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [5, 2], [5, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [4, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [5, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [5, 2], [5, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[5, 0], [5, 2], [5, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [1, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [1, 1], [5, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [4, 0], [5, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [5, 0], [5, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[5, 2], [5, 0], [5, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [5, 2], [5, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 1], [5, 2], [5, 2], [5, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[5, 1], [5, 2], [5, 2], [5, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], 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1], [5, 2], [5, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [4, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [4, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 0], [4, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 0], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1, 2], 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&#34;pos&#34;: [[0, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, 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6], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 6], [0, 6], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 6], [0, 3], [0, 3], [0, 3], [0, 6]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 6], [0, 3], [0, 3], [0, 6], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 6], [0, 3], [0, 6], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 1], [0, 3], [0, 4], [0, 7], [2, 0], [2, 5], [2, 6]], [[1, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], 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{&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 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&#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [0, 4], [1, 0], [1, 1], [3, 0], [3, 1]], [[2, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 3], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 3], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 4], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 4], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 4], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 4], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1, 3], &#34;pos&#34;: [[0, 5], [0, 4], [0, 5], [0, 5]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 5], [0, 4], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 5], [0, 4], [0, 5]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 5], [0, 5], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 5], [0, 5], [0, 4]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 5], [0, 4], [0, 4], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 5], [0, 4], [0, 5], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 5], [0, 5], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 5], [0, 4], [0, 5], [0, 4]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 5], [0, 5], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 4], [0, 4], [0, 4], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 4], [0, 4], [0, 5], [0, 4]]}, {&#34;patt&#34;: [3, 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&#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1, 3], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], 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5], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 3], [0, 5], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1], 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{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 6], [0, 3], [0, 6]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, 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1]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 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[0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1, 3], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [0, 3], [1, 1], [2, 1]], [[3, 0], [4, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1, 3], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 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&#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 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[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1, 2], 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1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], 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[]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 0, 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{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 6]]}, {&#34;patt&#34;: [0, 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{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 6], [0, 3], [0, 6]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 4], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 4], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 5], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [2, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [2, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 5], [2, 2], [3, 2]]}, {&#34;patt&#34;: [0, 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{&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 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0, 2], &#34;pos&#34;: [[0, 5], [0, 2], [0, 5]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 3], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 3], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 4], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], 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3], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 3], [0, 6], [2, 0], [2, 2], [2, 4], [2, 5], [3, 0], [3, 2]], [[1, 1]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 5], [4, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 5], [4, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 4], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 3], [4, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 6], [0, 4], [0, 6]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 5]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 4], [0, 6]], [[1, 3], [4, 0], [4, 3], [4, 5]], [[2, 1]], [[3, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 5], [0, 3], [0, 5]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 5], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 5], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 5], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 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[0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 3], [0, 5], [1, 3]], [[2, 1]], [[3, 0], [3, 2], [3, 4]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 5], [1, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: 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3], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 4], [0, 2], [0, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 3], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 3], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 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{&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 1], [2, 0]]}, 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1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, 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&#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [], &#34;pos&#34;: []}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 3], [1, 2], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 3], [1, 1], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 3], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], &#34;indices&#34;: [0, 0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: true}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 3], [1, 2], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1]], [[1, 0], [1, 2], [1, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 3], [1, 1], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 3], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 2], [0, 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{&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 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[0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [2, 1]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2], [2, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], 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{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 3, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, &#34;idx&#34;: 0}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0, 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{&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [2, 3], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 3], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 2], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 3], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 1, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, &#34;idx&#34;: 0}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, 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{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 3], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 2], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 5], [2, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 5], [2, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 5], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 5], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 5], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 5], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 5], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 5], [2, 0], [2, 2], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 3], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 2], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, &#34;idx&#34;: 0}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 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&#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 3], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1, 3], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 5], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 5], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 5], [1, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 5], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 4], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 5], [0, 0], [0, 5]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 5], [0, 5], [1, 4]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 5], [0, 5], [1, 4]]}, {&#34;patt&#34;: [2, 0, 1, 3], &#34;pos&#34;: [[0, 5], [0, 1], [0, 5], [0, 5]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 5], [0, 1], [0, 5], [0, 5]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 5], [0, 1], [0, 5], [1, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 5], [0, 1], [0, 5]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 5], [0, 5], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 5], [0, 5], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 5], [0, 1], [0, 1], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 5], [0, 1], [0, 5], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 5], [0, 5], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 5], [0, 1], [0, 5], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 5], [0, 5], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 1], [0, 1], [0, 1], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 1], [0, 1], [0, 5], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 1], [0, 5], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: 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1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, 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{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 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{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: 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{&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 4], [2, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 4], [0, 1], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 4], [0, 4], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 4], [0, 4], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 4], [0, 1], [0, 1], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 1], [0, 4], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 1], [0, 4], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 1], [0, 1], [0, 1], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 1], [0, 4], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 4], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: 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{&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, 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&#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1, 3], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.obstruction_inferral&#34;, &#34;strategy_class&#34;: &#34;ObstructionInferralStrategy&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: 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[0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 4], [0, 1], [0, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 4], [0, 1], [0, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], 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[[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 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[0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 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{&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [0, 3], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: 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&#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], 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{&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 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{&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: 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{&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 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&#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 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{&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 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{&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 1, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], 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[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 1], [3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [3, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1, 3], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [3, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 1], [3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 3], 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{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [3, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1, 3], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [3, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: 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{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 4], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 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[0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 5], [0, 5], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 5], [0, 1], [0, 1], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 5], [0, 1], [0, 5], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 5], [0, 5], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 5], [0, 1], [0, 5], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 5], [0, 5], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 1], [0, 1], [0, 1], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 1], [0, 1], [0, 5], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 1], [0, 5], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4], [2, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1, 3], &#34;pos&#34;: [[0, 4], [0, 1], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 4], [2, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 4], [0, 1], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 4], [0, 4], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 4], [0, 4], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 4], [0, 1], [0, 1], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 1], [0, 4], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 1], [0, 4], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 1], [0, 1], [0, 1], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 1], [0, 4], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 4], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, 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3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1, 3], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 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[0, 3], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.obstruction_inferral&#34;, &#34;strategy_class&#34;: &#34;ObstructionInferralStrategy&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: 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[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 3], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 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[[3, 0], [3, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 2], [3, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[3, 2], [3, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, &#34;idx&#34;: 0}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [3, 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{&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 0], [2, 1], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [3, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 0], [2, 1], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: 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1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 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3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [3, 1], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 0], [2, 1], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, &#34;idx&#34;: 0}]}, {&#34;class_module&#34;: 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{&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], 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1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.obstruction_inferral&#34;, &#34;strategy_class&#34;: &#34;ObstructionInferralStrategy&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: 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{&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.obstruction_inferral&#34;, &#34;strategy_class&#34;: &#34;ObstructionInferralStrategy&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 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&#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 1, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: 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{&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 6], [0, 6], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 6], [0, 2], [0, 2], [0, 2], [0, 6]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 6], [0, 2], [0, 2], [0, 6], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 6], [0, 2], [0, 6], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 4]]}, 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[[0, 2], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 4], [0, 2], [0, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: 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{&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: 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{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 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{&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1, 3], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1, 3], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: 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[3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1, 3], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], 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&#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1, 3], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, 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3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.obstruction_inferral&#34;, &#34;strategy_class&#34;: &#34;ObstructionInferralStrategy&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 4], [0, 1], [0, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 4], [0, 1], [0, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 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1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}, &#34;idx&#34;: 0}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], 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[[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], 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&#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: 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&#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1, 3], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [2, 0, 1, 3], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [2, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 1, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [2, 0, 1, 3], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [2, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 5], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 5], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 5], [2, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 5], [0, 0], [0, 5]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5], [2, 4]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5], [2, 4]]}, {&#34;patt&#34;: [2, 0, 1, 3], &#34;pos&#34;: [[0, 5], [0, 2], [0, 5], [0, 5]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 5], [0, 2], [0, 5], [0, 5]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 5], [0, 2], [0, 5], [2, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 5], [0, 2], [0, 5]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 5], [0, 5], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 5], [0, 5], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 5], [0, 2], [0, 2], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 2], [0, 5], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 2], [0, 5], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 2], [0, 2], [0, 2], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 2], [0, 2], [0, 5], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 2], [0, 5], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 3], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [2, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [2, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 2], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1, 3], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [2, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [0, 3], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 5], [2, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 5], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 5], [2, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 4], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 3], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 3], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 6], [0, 6], [2, 5]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 6], [0, 6], [2, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 2], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1, 3], &#34;pos&#34;: [[0, 6], [0, 3], [0, 6], [0, 6]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 6], [0, 3], [0, 6], [0, 6]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 6], [0, 3], [0, 6], [2, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 4], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 6], [0, 3], [0, 6]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 6], [0, 6], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 6], [0, 6], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 6], [0, 3], [0, 3], [0, 6]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 6], [0, 3], [0, 6], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 6], [0, 6], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 6], [0, 3], [0, 6], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 6], [0, 6], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 6], [0, 3], [0, 3], [0, 3], [0, 6]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 6], [0, 3], [0, 3], [0, 6], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 6], [0, 3], [0, 6], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1, 3], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], 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{&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [0, 3], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, &#34;idx&#34;: 0}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: 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0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 4], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1, 3], &#34;pos&#34;: [[0, 4], [0, 2], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4], [0, 2], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4], [0, 4], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4], [0, 4], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 4], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 4], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [0, 2], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [0, 4], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, &#34;idx&#34;: 0}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: 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{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], 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[2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: 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1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 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[[0, 3], [0, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 3], [2, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 3], [2, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 3], [2, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: 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[[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[3, 3], [3, 1], [3, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 1], [3, 3], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [3, 3], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[3, 3], [3, 1], [3, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 1], [3, 3], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [3, 3], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 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0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[3, 3], [3, 1], [3, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 1], [3, 3], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [3, 3], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 1], 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[[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: 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{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [3, 2]]}, 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&#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 1], 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{&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.obstruction_inferral&#34;, &#34;strategy_class&#34;: &#34;ObstructionInferralStrategy&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: 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&#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: 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{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: 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[[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}], 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[0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, 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[0, 1], &#34;pos&#34;: [[0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 1, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: 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&#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 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{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: 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&#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 1, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], 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[0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 5], [2, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 4], [4, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 5], [2, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 5], [4, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 4], [4, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 4]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 3], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, &#34;idx&#34;: 0}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}]], 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{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [4, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [4, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [4, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], 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2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 1, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [4, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [4, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [4, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], 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{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[5, 2], [5, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[5, 2], [5, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[6, 0], [6, 0], [6, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], 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&#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 3], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 3], [1, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[5, 4], [5, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 3], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 3], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 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[[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 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{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 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&#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[5, 5], [5, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[5, 0], [5, 5], [5, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 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3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, 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{&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: 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0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [3, 3], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 3], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [3, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [3, 2], [3, 3], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 3], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [3, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [3, 3], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], 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0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], 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2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 2], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], 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[1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 3], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 3], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 4], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 4], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [3, 3], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 3], [3, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [2, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], 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&#34;pos&#34;: [[0, 3], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 3], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 4], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [3, 3], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [3, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [3, 2], [3, 3], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 3], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 2], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 2], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [3, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [3, 3], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 3], [3, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [2, 0], [2, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [2, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [3, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [2, 0], [2, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [2, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 2], [3, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 3], [3, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 4], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 4], [2, 0], [2, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 4], [2, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[3, 2], [3, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[3, 3], [3, 0], [3, 2], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, &#34;idx&#34;: 0}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, 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1, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4], [3, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 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3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 1], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 4], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[3, 2], [3, 2], [3, 4]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[3, 4], [3, 2], [3, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 4], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [3, 4], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [3, 4], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 4], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4], [3, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 3, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 1], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 4], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 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[0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 5], [2, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 1], [4, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 6], [0, 6]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 6], [2, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 6], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 5], [2, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 5], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[4, 2], [4, 2], [4, 4]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[4, 4], [4, 2], [4, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 2], [4, 4], [4, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 4], [4, 4], [4, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 6], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 6], [4, 4], [4, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 5], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 5], [4, 4], [4, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 4], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 4], [4, 4], [4, 2]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[4, 4], [4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[4, 4], [4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[4, 4], [4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[4, 4], [4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[4, 4], [4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[4, 4], [4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 6], [4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 5], [4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[4, 4], [4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 6], [4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 5], [4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[4, 4], [4, 4], [4, 4], [4, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: 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[0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 1, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: 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2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 1, &#34;own_col&#34;: true, &#34;own_row&#34;: 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[[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [4, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 5], [3, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 4], [4, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 5], [3, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 5], [4, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 4], [4, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [3, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [4, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [3, 5], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [3, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 4], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [3, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 4], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 5], [4, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 5], [4, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [1, 1], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 1], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 5]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [3, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 4], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [3, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 4], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 5], [3, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 5], [3, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [1, 1], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 1], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 1, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], 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[3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [4, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 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[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.obstruction_inferral&#34;, &#34;strategy_class&#34;: &#34;ObstructionInferralStrategy&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 0], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [3, 3], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 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[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [3, 3], [3, 3], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 1], [3, 3], [3, 3], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [3, 3], [3, 3], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 1], [3, 3], [3, 3], [3, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[3, 3], [3, 1], [3, 3], [3, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: 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1], &#34;pos&#34;: [[1, 0], [5, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 0], [5, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[5, 0], [5, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[4, 0], [5, 3], [5, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[5, 0], [5, 3], [5, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [5, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [3, 1], [5, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [5, 3], [5, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [4, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [5, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [5, 3], [5, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[5, 0], [5, 3], [5, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[5, 3], [5, 0], [5, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 1], [5, 3], [5, 3], [5, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[5, 1], [5, 3], [5, 3], [5, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 1], [5, 3], [5, 3], [5, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[5, 1], [5, 3], [5, 3], [5, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[5, 3], [5, 1], [5, 3], [5, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 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[[2, 0], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 0], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [3, 3], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 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[3, 3], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 1], [3, 3], [3, 3], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [3, 3], [3, 3], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 1], [3, 3], [3, 3], [3, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[3, 3], [3, 1], [3, 3], [3, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 1, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, &#34;idx&#34;: 0}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 0]]}, {&#34;patt&#34;: [1, 0], 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{&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 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{&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.obstruction_inferral&#34;, &#34;strategy_class&#34;: &#34;ObstructionInferralStrategy&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 0], [1, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 1], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [2, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [3, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [2, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [3, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 4], [0, 1], [0, 4]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [2, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [3, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [2, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [3, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 4], [0, 1], [0, 4]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 4], [4, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 4], [4, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 1], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 4]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], 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3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, 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{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 6], [1, 6], [1, 6]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 6], [1, 6], [1, 6]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 6], [1, 6], [1, 6]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 6], [1, 6], [1, 6]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 6], [1, 6], [3, 5]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 6], [1, 6], [1, 6]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 6], [1, 6], [3, 5]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 6], [1, 6], [1, 6]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 6], [1, 6], [1, 6]]}, {&#34;patt&#34;: [2, 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0, 2, 1, 4], &#34;pos&#34;: [[0, 6], [0, 3], [0, 3], [1, 3], [1, 6]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [1, 6]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 6], [0, 3], [0, 3], [0, 6], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 6], [0, 3], [0, 3], [0, 6], [1, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 6], [0, 3], [0, 3], [1, 6], [1, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [1, 6]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 6], [0, 3], [0, 6], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 6], [0, 3], [0, 6], [0, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 6], [0, 3], [0, 6], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [1, 6]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [1, 6], [1, 6]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 5], [1, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 5], [1, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 5], [1, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 5], [1, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 5], [0, 2], [0, 5]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 5], [1, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 5], [1, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 6], [1, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 6], [0, 2], [0, 6]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 5], [1, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 5], [1, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 6], [1, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 6], [0, 2], [0, 6]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 5], [1, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 5], [0, 2], [0, 5]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 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[[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 1]]}, 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&#34;pos&#34;: [[1, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 4]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 1, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [4, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 4], [4, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [4, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [4, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 4], [4, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 4], [4, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 0], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 4], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 4], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [3, 3], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [0, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [0, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [2, 0], [3, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 4], [2, 0], [3, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 3], [3, 0], [3, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 4], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [3, 3], [3, 3], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 1], [3, 3], [3, 3], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 4], [3, 3], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [3, 3], [3, 3], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 1], [3, 3], [3, 3], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1, 3], &#34;pos&#34;: [[0, 4], [3, 0], [3, 3], [4, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [2, 1], [3, 3], [3, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 4], [2, 1], [3, 3], [3, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[3, 3], [3, 1], [3, 3], [3, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [3, 1], [3, 3], [3, 1], [4, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 4]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[7, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[7, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[7, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[7, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[7, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [4, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [6, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [6, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[5, 0], [6, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[6, 0], [6, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[7, 5], [7, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[7, 5], [7, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[5, 0], [6, 3], [6, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[6, 0], [6, 3], [6, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [6, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [4, 1], [6, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [6, 1], [6, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [6, 3], [6, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [6, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [5, 0], [6, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [6, 0], [6, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 1], [4, 1], [6, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 1], [6, 1], [6, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[5, 0], [5, 0], [6, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[5, 0], [6, 0], [6, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[5, 0], [6, 3], [6, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[6, 0], [6, 0], [6, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[6, 0], [6, 3], [6, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[6, 1], [6, 1], [6, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[6, 3], [6, 3], [6, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [1, 1], [4, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [1, 1], [6, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [5, 0], [6, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [6, 0], [6, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[6, 3], [6, 0], [6, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [6, 3], [6, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[6, 3], [6, 3], [6, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[4, 1], [6, 3], [6, 3], [6, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[6, 1], [6, 3], [6, 3], [6, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[4, 1], [6, 3], [6, 3], [6, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[6, 1], [6, 3], [6, 3], [6, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [4, 1], [6, 3], [6, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [6, 1], [6, 3], [6, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[6, 3], [6, 1], [6, 3], [6, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[7, 5]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1, 3], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [2, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [2, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [4, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 4], [4, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [4, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [4, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 4], [4, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 4], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 4], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [3, 3], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 3], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [2, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [2, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 4], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [3, 3], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [3, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [3, 2], [3, 3], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 3], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 2], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [3, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [3, 3], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 3], [3, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [2, 0], [2, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [2, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 2], [3, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 4], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 4], [2, 0], [2, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 4], [2, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[3, 2], [3, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[3, 3], [3, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [3, 0], [3, 2], [3, 0], [4, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 4]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [4, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 4], [4, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [4, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [4, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 4], [4, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 4], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 4], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [3, 3], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 3], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [2, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [2, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 4], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [3, 3], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [3, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [3, 2], [3, 3], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 3], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 2], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [3, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [3, 3], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 3], [3, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [2, 0], [2, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [2, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 2], [3, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 4], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 4], [2, 0], [2, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 4], [2, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[3, 2], [3, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[3, 3], [3, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [3, 0], [3, 2], [3, 0], [4, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 4]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 5], [4, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 5], [4, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [3, 3], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 3], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [2, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [3, 3], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [3, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [3, 2], [3, 3], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 3], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [3, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [3, 3], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 3], [3, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [2, 0], [2, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [2, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [3, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 2], [3, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[3, 2], [3, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[3, 3], [3, 0], [3, 2], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 5]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: 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1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1, 3], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [2, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1], [1, 1], [2, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], 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[[3, 2], [4, 0], [4, 2], [4, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[3, 4], [3, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[3, 4], [3, 0], [3, 2], [4, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[3, 4], [3, 0], [4, 2], [4, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[3, 4], [4, 0], [4, 2], [4, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[4, 2], [4, 0], [4, 2], [4, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 6]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: 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1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [4, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [4, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [4, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [4, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [4, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 1, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [4, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [4, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [4, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [4, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [4, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [4, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 5], [4, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[5, 2], [5, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[6, 4], [6, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 5], [4, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 5], [6, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[5, 2], [5, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[6, 4], [6, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[6, 0], [6, 0], [6, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 4]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [4, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [4, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [4, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [4, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 1, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [4, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [4, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [4, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [4, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 5], [3, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[5, 4], [5, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 5], [3, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 5], [5, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[5, 4], [5, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 4]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 4], [3, 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2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]], 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[0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [5, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [5, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], 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5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 1, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, &#34;idx&#34;: 0}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, 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{&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 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{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [4, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [4, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 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{&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: 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0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [3, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [2, 0], [2, 1], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [2, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [3, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 1], [3, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 1], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 3], [3, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[3, 1], [3, 0], [3, 1], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 5]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, 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[0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 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1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 4], [3, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 5], [3, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 5], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 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1], &#34;pos&#34;: [[0, 3], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 6], [0, 6], [3, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1, 3], &#34;pos&#34;: [[0, 6], [0, 3], [0, 6], [0, 6]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 6], [0, 3], [0, 6], [0, 6]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 6], [0, 3], [0, 6], [3, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 6], [0, 3], [0, 6]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 6], [0, 6], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 6], [0, 6], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 6], [0, 3], [0, 3], [0, 6]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 6], [0, 3], [0, 6], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 6], [0, 6], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 6], [0, 3], [0, 6], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 6], [0, 6], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 6], [0, 3], [0, 3], [0, 3], [0, 6]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 6], [0, 3], [0, 3], [0, 6], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 6], [0, 3], [0, 6], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 5], [0, 2], [0, 5]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 3], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 5], [0, 2], [0, 5]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 3], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 5], [0, 2], [0, 5]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 4], [0, 2], [0, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.obstruction_inferral&#34;, &#34;strategy_class&#34;: &#34;ObstructionInferralStrategy&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]}}]}, 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[0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 0, 1, 3], &#34;pos&#34;: [[0, 4], [0, 2], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 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{&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 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{&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 4], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 4], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [0, 2], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [0, 4], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, 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&#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, 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[2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], 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[0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 4], [0, 2], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: 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{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [1, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 4], [0, 2], [0, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: 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2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, 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1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, 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[[3, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4], [3, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: 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[[3, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4], [3, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [3, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [4, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 2], [3, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 2], [4, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 5], [3, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 6], [0, 6]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 6], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 6], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 6], [3, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 5], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 5], [3, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[4, 2], [4, 2], [4, 4]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[4, 4], [4, 2], [4, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 2], [4, 4], [4, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 4], [4, 4], [4, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 6], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 6], [4, 4], [4, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 5], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 5], [4, 4], [4, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 4], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 4], [4, 4], [4, 2]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[4, 4], [4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[4, 4], [4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[4, 4], [4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[4, 4], [4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[4, 4], [4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[4, 4], [4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 6], [4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[3, 5], [4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[4, 4], [4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 6], [4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[3, 5], [4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[4, 4], [4, 4], [4, 4], [4, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.obstruction_inferral&#34;, &#34;strategy_class&#34;: &#34;ObstructionInferralStrategy&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 4], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, 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0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 4], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], 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[[3, 3], [3, 3], [3, 5]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[3, 5], [3, 3], [3, 5]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 5], [3, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 5], [3, 5], [3, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 6], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 6], [3, 5], [3, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 5], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 5], [3, 5], [3, 3]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[3, 5], [3, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 5], [3, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[3, 5], [3, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[3, 5], [3, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[3, 5], [3, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 5], [3, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 6], [3, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[3, 5], [3, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 6], [3, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[3, 5], [3, 5], [3, 5], [3, 5]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[3, 2], [3, 2], [3, 4]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[3, 4], [3, 2], [3, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 4], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [3, 4], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 4], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[0, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4], [3, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], 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{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 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{&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 4], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4], [3, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [3, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [3, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], 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4], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4], [3, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: 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[[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, 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4]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4], [3, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [3, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 6], [2, 6]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: 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5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[2, 6], [3, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [3, 1, 2, 0], &#34;pos&#34;: [[3, 5], [3, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 6], [3, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[3, 5], [3, 5], [3, 5], [3, 5]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: 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[[0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}, &#34;idx&#34;: 0}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.obstruction_inferral&#34;, &#34;strategy_class&#34;: &#34;ObstructionInferralStrategy&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]}}, &#34;idx&#34;: 0}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 5], [1, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 5], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 5], [1, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 5], [1, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 5], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 5], [1, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 5], [1, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 5], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 5], [1, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], 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[[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 5], [1, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 5], [1, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.obstruction_inferral&#34;, &#34;strategy_class&#34;: &#34;ObstructionInferralStrategy&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: 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[[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: 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{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: 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[[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: 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&#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 4], [0, 2], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 5], [0, 3], [0, 5]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: 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[0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 3], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [3, 3], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [2, 3], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [3, 3], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 3], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 3], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 3], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [3, 3], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [2, 3], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [3, 3], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 3], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 3], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 5], [4, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 5], [4, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 3], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 5]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 2], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 1], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [4, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 1], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [4, 1], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [4, 1], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 1], [4, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [4, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 1], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [4, 1], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [4, 1], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 1], [4, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, 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2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [4, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [4, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 0], [4, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 0], [4, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [4, 2], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 1], [4, 2], [4, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: 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&#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 5], [0, 3], [0, 5]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 5], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 5], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 5], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 5], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 5], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 5], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 5], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 5], [0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 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3], [0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 3], [3, 3]]}, 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3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, 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{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], 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{&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 5], [0, 5], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 4], [0, 4], [0, 4], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 4], [0, 4], [0, 5], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 4], [0, 5], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: 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{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 5], [2, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 4], [0, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 4], [2, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [2, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1], 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{&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 4], [0, 4], [0, 5], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 4], [0, 5], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, 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4], [0, 2], [0, 2], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 4], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 4], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [0, 2], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [0, 4], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 0]]}, 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6]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 5], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1, 3], &#34;pos&#34;: [[0, 6], [0, 5], [0, 6], [0, 6]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 6], [0, 5], [0, 6], [0, 6]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 5], [1, 2], [1, 3], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 2], [1, 3], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 6], [0, 5], [0, 6]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 6], [0, 6], [0, 5]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 6], [0, 6], [0, 5]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 6], [0, 5], [0, 5], [0, 6]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 6], [0, 5], [0, 6], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 6], [0, 6], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 5], [0, 6], [0, 5], [0, 6], [0, 5]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 6], [0, 6], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 6], [0, 5], [0, 5], [0, 5], [0, 6]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 6], [0, 5], [0, 5], [0, 6], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 6], [0, 5], [0, 6], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], 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2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 4], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 5], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 5], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 5], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 5], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 5], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 5], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1, 3], &#34;pos&#34;: [[0, 6], [0, 5], [0, 6], [0, 6]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 6], [0, 5], [0, 6], [0, 6]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 5], [1, 2], [1, 3], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 2], [1, 3], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 6], [0, 5], [0, 6]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 6], [0, 6], [0, 5]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 6], [0, 6], [0, 5]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 6], [0, 5], [0, 5], [0, 6]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 6], [0, 5], [0, 6], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 6], [0, 6], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 5], [0, 6], [0, 5], [0, 6], [0, 5]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 6], [0, 6], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 6], [0, 5], [0, 5], [0, 5], [0, 6]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 6], [0, 5], [0, 5], [0, 6], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 6], [0, 5], [0, 6], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 7]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 7]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], 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{&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 7]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[6, 5], [6, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 3], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [3, 4], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [4, 0]]}, 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1, 2], &#34;pos&#34;: [[0, 6], [0, 7], [0, 7], [0, 7]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 6], [0, 7], [0, 7], [0, 7]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1, 3], &#34;pos&#34;: [[0, 7], [0, 6], [0, 7], [0, 7]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 7], [0, 6], [0, 7], [0, 7]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 6], [1, 2], [1, 3], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 2], [1, 3], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 6], [0, 6], [0, 7], [0, 6], [0, 7]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 7], [0, 7], [0, 7], [0, 7], [0, 7]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 7], [0, 7], [0, 6]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 7], [0, 7], [0, 7], [0, 7], [0, 7]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 7], [0, 7], [0, 6]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 7], [0, 7], [0, 7], [0, 7], [0, 7]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 6], [0, 7], [0, 6], [0, 6], [0, 7]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 7], [0, 7], [0, 7], [0, 7], [0, 7]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 6], [0, 7], [0, 6], [0, 7], [0, 6]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 7], [0, 7], [0, 7], [0, 7], [0, 7]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 6], [0, 7], [0, 7], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 7], [0, 7], [0, 7], [0, 7], [0, 7]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 6], [0, 7], [0, 6], [0, 7], [0, 6]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 7], [0, 7], [0, 7], [0, 7], [0, 7]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 6], [0, 7], [0, 7], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 7], [0, 7], [0, 7], [0, 7], [0, 7]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 7], [0, 6], [0, 6], [0, 6], [0, 7]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 7], [0, 7], [0, 7], [0, 7], [0, 7]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 7], [0, 6], [0, 6], [0, 7], [0, 6]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 7], [0, 7], [0, 7], [0, 7], [0, 7]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 7], [0, 6], [0, 7], [0, 6], [0, 6]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 7], [0, 7], [0, 7], [0, 7], [0, 7]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 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2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 6], [0, 3], [0, 6]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], 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{&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 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&#34;pos&#34;: [[2, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 5], [2, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 5], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 5], [2, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 6], [0, 3], [0, 6]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [1, 1], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 5], [2, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 5], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 5], [2, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 6], [0, 3], [0, 6]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [1, 1], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 5], [0, 3], [0, 5]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.obstruction_inferral&#34;, &#34;strategy_class&#34;: &#34;ObstructionInferralStrategy&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 5], [0, 3], [0, 5]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 5], [0, 3], [0, 5]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: 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[[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1, 3], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [0, 3], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, 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{&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 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{&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [2, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 3], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 4], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [3, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 2], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 2], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [3, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [2, 0], [2, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [2, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [2, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 3], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 3], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 4], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [2, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [2, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 3], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 4], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [3, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 2], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 2], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [3, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [2, 0], [2, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [2, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 2], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 5], [2, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 5], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 5], [2, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 6], [2, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 6], [0, 3], [0, 6]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 4], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 4], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 5], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [2, 2], [2, 2]]}, 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{&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, 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1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 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[[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: 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{&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 5], [4, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 5], [4, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 4], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 3], [4, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 6], [0, 4], [0, 6]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 5]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 5], [0, 3], [0, 5]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 5], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 5], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 5], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 3], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 3], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 4], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 4], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 3], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 3], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 4], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [2, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 3], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 4], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [3, 1], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 1], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 1], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [3, 1], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [2, 0], [2, 1], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [2, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 1], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 3], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 3], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 4], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [2, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 3], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 4], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [3, 1], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 1], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 1], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [3, 1], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [2, 0], [2, 1], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [2, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 1], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.obstruction_inferral&#34;, &#34;strategy_class&#34;: &#34;ObstructionInferralStrategy&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 4, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 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&#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: true}}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;VerificationRule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;strategy_class&#34;: &#34;BasicVerificationStrategy&#34;}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;VerificationRule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], 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&#34;OneByOneVerificationStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;basis&#34;: [[0, 2, 3, 1, 4], [0, 2, 3, 4, 1], [0, 2, 4, 3, 1], [0, 3, 2, 1, 4], [0, 3, 2, 4, 1], [0, 3, 4, 2, 1], [0, 4, 2, 3, 1], [0, 4, 3, 2, 1], [3, 0, 2, 1, 4], [3, 0, 2, 4, 1], [3, 0, 4, 2, 1]], &#34;symmetry&#34;: false}}, {&#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;rule_class&#34;: &#34;OneByOneVerificationRule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;strategy_class&#34;: &#34;OneByOneVerificationStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;basis&#34;: [[0, 2, 3, 1, 4], [0, 2, 3, 4, 1], [0, 2, 4, 3, 1], [0, 3, 2, 1, 4], [0, 3, 2, 4, 1], [0, 3, 4, 2, 1], [0, 4, 2, 3, 1], [0, 4, 3, 2, 1], [3, 0, 2, 1, 4], [3, 0, 2, 4, 1], [3, 0, 4, 2, 1]], &#34;symmetry&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;VerificationRule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [], &#34;pos&#34;: []}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;strategy&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.strategy&#34;, &#34;strategy_class&#34;: &#34;EmptyStrategy&#34;}}]}<br /><br />